-x x = -3 4 The Converse of the consecutive Interior angles Theorem states that if the consecutive interior angles on the same side of a transversal line intersecting two lines are supplementary, then the two lines are parallel. Find the equation of the line passing through \((\frac{7}{2}, 1)\) and parallel to \(2x+14y=7\). The slope of second line (m2) = 1 2 = \(\frac{1}{2}\) (-5) + c So, No, we did not name all the lines on the cube in parts (a) (c) except \(\overline{N Q}\). Our Parallel and Perpendicular Lines Worksheets are free to download, easy to use, and very flexible. The angles are (y + 7) and (3y 17) AP : PB = 4 : 1 x = 35 Find the measure of the missing angles by using transparent paper. Find the values of x and y. m1 = m2 = \(\frac{3}{2}\) Parallel, Perpendicular and Intersecting Lines Worksheets Label points on the two creases. The point of intersection = (\(\frac{7}{2}\), \(\frac{1}{2}\)) A(-1, 5), y = \(\frac{1}{7}\)x + 4 a.) Question 25. -2 = \(\frac{1}{3}\) (-2) + c We can conclude that 2 and 11 are the Vertical angles. If two lines x and y are horizontal lines and they are cut by a vertical transversal z, then \(\overline{C D}\) and \(\overline{A E}\) are Skew lines because they are not intersecting and are non coplanar Now, By using the consecutive interior angles theorem, Hence, from the above, Hence, from the above, So, 6.3 Equations in Parallel/Perpendicular Form - Algebra So, Your school has a $1,50,000 budget. Whereas, if the slopes of two given lines are negative reciprocals of each other, they are considered to be perpendicular lines. The given figure is: We know that, From the given figure, The Intersecting lines have a common point to intersect For a horizontal line, b.) (1) = Eq. (2x + 2) = (x + 56) c = -5 + 2 The given equation is: Observe the following figure and the properties of parallel and perpendicular lines to identify them and differentiate between them. All its angles are right angles. The given point is: A (2, -1) In Exercises 9 and 10, use a compass and straightedge to construct a line through point P that is parallel to line m. Question 10. Question 35. We know that, Which pair of angle measures does not belong with the other three? The Perpendicular Postulate states that if there is a line and a point not on the line, then there is exactly one line through the point perpendicularto the given line. Find an equation of line q. Hence, from he above, the equation that is perpendicular to the given line equation is: y = \(\frac{1}{5}\)x + \(\frac{4}{5}\) y = \(\frac{1}{3}\)x 2 -(1) Now, Example 2: State true or false using the properties of parallel and perpendicular lines. m1m2 = -1 as shown. We can conclude that 11 and 13 are the Consecutive interior angles, Question 18. Use the diagram Hence, from the above, For a vertical line, x = -1 We know that, x = 20 y = 4x + b (1) The flow proof for the Converse of Alternate exterior angles Theorem is: MAKING AN ARGUMENT Answer: If you will go to the park, then it is warm outside -> False. c = -12 y = 162 2 (9) If you will see a tiger, then you go to the zoo-> False. Hence, Question 5. PDF CHAPTER Solutions Key 3 Parallel and Perpendicular Lines x = y = 61, Question 2. Compare the given equation with 7 = -3 (-3) + c Hence, from the above, So, Question 1. Grade: Date: Parallel and Perpendicular Lines. If the pairs of corresponding angles are, congruent, then the two parallel lines are. (C) Alternate Exterior Angles Converse (Thm 3.7) Answer: Although parallel and perpendicular lines are the two basic and most commonly used lines in geometry, they are quite different from each other. (1) 1 = 32. So, The are outside lines m and n, on . c = \(\frac{1}{2}\) Label the intersections of arcs C and D. We know that, ATTENDING TO PRECISION The given point is: (1, -2) The standard form of a linear equation is: line(s) skew to The product of the slope of the perpendicular equations is: -1 Then use the slope and a point on the line to find the equation using point-slope form. A (x1, y1), and B (x2, y2) We know that, (7x + 24) = 180 72 We can observe that The given figure is: P(0, 1), y = 2x + 3 y = \(\frac{5}{3}\)x + c Hence, We know that, We have to find the point of intersection It is given that you and your friend walk to school together every day. A Linear pair is a pair of adjacent angles formed when two lines intersect The Converse of the alternate exterior angles Theorem: When finding an equation of a line perpendicular to a horizontal or vertical line, it is best to consider the geometric interpretation. (1) So, Answer: Let the given points are: 3 = 60 (Since 4 5 and the triangle is not a right triangle) So, So, From the above figure, Then by the Transitive Property of Congruence (Theorem 2.2), _______ . We use this and the point \((\frac{7}{2}, 1)\) in point-slope form. Another answer is the line perpendicular to it, and also passing through the same point. The given lines are: So, Answer: Answer: Line c and Line d are perpendicular lines, Question 4. The Parallel lines have the same slope but have different y-intercepts We have to prove that m || n PDF 3.6 Parallel and Perpendicular Lines - Central Bucks School District Now, The points are: (-\(\frac{1}{4}\), 5), (-1, \(\frac{13}{2}\)) y = -3x 2 (2) Answer: Question 12. Geometry Unit:4 Lesson:4 Parallel and Perpendicular Lines - Quizlet Answer: Answer the questions related to the road map. Solving the concepts from the Big Ideas Math Book Geometry Ch 3 Parallel and Perpendicular Lines Answers on a regular basis boosts the problem-solving ability in you. y = \(\frac{2}{3}\)x + 1, c. We know that, Hence, For a pair of lines to be parallel, the pair of lines have the same slope but different y-intercepts We know that, We can conclude that the claim of your friend can be supported, Question 7. Now, Answer: The points are: (-9, -3), (-3, -9) MAKING AN ARGUMENT The coordinates of a quadrilateral are: AB = 4 units Answer: Question 24. Answer: Answer: Where, y = -3x + 650, b. then they are supplementary. The slope of the equation that is parallel t the given equation is: \(\frac{1}{3}\) So, Prove: t l. PROOF 2 = 57 Hence, y = mx + c y = \(\frac{77}{11}\) 2 = 122 We can conclude that the converse we obtained from the given statement is true We know that, We can conclude that the value of y when r || s is: 12, c. Can r be parallel to s and can p, be parallel to q at the same time? 2x y = 4 The slope of the line of the first equation is: These worksheets will produce 6 problems per page. c = -1 y = \(\frac{1}{2}\)x + c Explain. So, Now, Hence, from the above, The distance between the two parallel lines is: y = 3x + c Slope (m) = \(\frac{y2 y1}{x2 x1}\) c = -1 2 Perpendicular lines always intersect at 90. We know that, Answer: Question 4. EG = \(\sqrt{(5) + (5)}\) Answer: The equation of a line is: y = \(\frac{1}{2}\)x \(\frac{1}{2}\), Question 10. Hence, from the above, From the above figure, They are always equidistant from each other. x = \(\frac{69}{3}\) Use a graphing calculator to verify your answer. Answer: y = \(\frac{1}{2}\)x + 7 We know that, The map shows part of Denser, Colorado, Use the markings on the map. Hence, from the above, Solution: Using the properties of parallel and perpendicular lines, we can answer the given . ERROR ANALYSIS CRITICAL THINKING Answer: x = 2 Hence, By comparing the given pair of lines with Hence, from the above, HOW DO YOU SEE IT? The Converse of the Alternate Exterior Angles Theorem: We can conclude that Answer: m1m2 = -1 We can observe that So, So, Answer: We know that, Slope of TQ = \(\frac{-3}{-1}\) y = mx + b y = -3x 2 0 = \(\frac{1}{2}\) (4) + c 1 (m2) = -3 We can conclude that the pair of perpendicular lines are: 3 = 180 133 1 = 2 y = \(\frac{1}{2}\)x 6 Explain your reasoning. 0 = 2 + c So, From the given figure, y = -2x 1 The representation of the given coordinate plane along with parallel lines is: y = -x, Question 30. It is given that 4 5. Linear Pair Perpendicular Theorem (Thm. The product of the slopes of the perpendicular lines is equal to -1 = 3, The slope of line d (m) = \(\frac{y2 y1}{x2 x1}\) We have to divide AB into 8 parts Explain your reasoning. y = \(\frac{1}{3}\)x + c From the given figure, Answer: The lines that do not intersect or not parallel and non-coplanar are called Skew lines 2x = 18 Answer: 2. Answer: From the given figure, Explain why the top step is parallel t0 the ground. Now, We can solve it by using the "point-slope" equation of a line: y y1 = 2 (x x1) And then put in the point (5,4): y 4 = 2 (x 5) That is an answer! Hence, By using the Corresponding angles Theorem, y = mx + c ERROR ANALYSIS The equation of a line is: The lines that have the same slope and different y-intercepts are Parallel lines m1m2 = -1 Hence, from the above, Question 1. Find the equation of the line passing through \((8, 2)\) and perpendicular to \(6x+3y=1\). Yes, there is enough information in the diagram to conclude m || n. Explanation: (5y 21) = (6x + 32) So, The given point is: A(3, 6) We can conclude that the distance from line l to point X is: 6.32. The given point is: (4, -5) y = \(\frac{3}{2}\)x + c So, Hence, from the above, VOCABULARY Consider the following two lines: Consider their corresponding graphs: Figure 4.6.1 Look back at your construction of a square in Exercise 29 on page 154. b.) 17x = 180 27 REASONING The given rectangular prism of Exploration 2 is: So, Now, Unit 3 parallel and perpendicular lines homework 5 answer key 1 2 3 4 5 6 7 8 The given point is: (6, 1) d = \(\sqrt{290}\) In Exercise 31 on page 161, from the coordinate plane, The given point is: (-3, 8) We can conclude that the equation of the line that is perpendicular bisector is: We know that, We can conclue that We can conclude that the distance from point C to AB is: 12 cm. The equation that is perpendicular to the given line equation is: A triangle has vertices L(0, 6), M(5, 8). Slope of ST = \(\frac{2}{-4}\) The given figure is: b. m1 + m4 = 180 // Linear pair of angles are supplementary -4 = \(\frac{1}{2}\) (2) + b y = -3 (0) 2 Parallel to \(y=\frac{3}{4}x+1\) and passing through \((4, \frac{1}{4})\). 3.3). b = 9 m2 = \(\frac{1}{3}\) x = 29.8 In Example 2, The given point is: (-1, 6) (x1, y1), (x2, y2) Hence, From the given figure, Prove 1 and 2 are complementary Hence, plane(s) parallel to plane ADE F if two coplanar strains are perpendicular to the identical line then the 2 strains are. 1 and 5 are the alternate exterior angles = 3 We know that, We know that, When we observe the Converse of the Corresponding Angles Theorem we obtained and the actual definition, both are the same When we compare the given equation with the obtained equation, We can conclude that in order to jump the shortest distance, you have to jump to point C from point A. The equation that is parallel to the given equation is: We know that, 3m2 = -1 y = \(\frac{1}{2}\)x 6 Answer: 9 and x- Answer: 2 and y Answer: x +15 and Answer: x +10 2 x -6 and 2x + 3y Answer: 6) y and 3x+y=- Answer: Answer: 14 and y = 5 6 Prove the statement: If two lines are vertical. The lines skew to \(\overline{Q R}\) are: \(\overline{J N}\), \(\overline{J K}\), \(\overline{K L}\), and \(\overline{L M}\), Question 4. \(m_{}=\frac{2}{7}\) and \(m_{}=\frac{7}{2}\), 17. We know that, p || q and q || r. Find m8. The equation of the line that is perpendicular to the given line equation is: In Example 4, the given theorem is Alternate interior angle theorem Write the equation of the line that is perpendicular to the graph of 9y = 4x , and whose y-intercept is (0, 3). Answer: y = 4 x + 2 2. y = 5 - 2x 3. Hence, The Skew lines are the lines that are non-intersecting, non-parallel and non-coplanar Write a conjecture about the resulting diagram. By comparing the slopes, Now, The given statement is: 1 8 We can observe that 141 and 39 are the consecutive interior angles So, Which is different? Negative reciprocal means, if m1 and m2 are negative reciprocals of each other, their product will be -1. Answer: We get Given m1 = 115, m2 = 65 3 = -2 (-2) + c By using the Corresponding Angles Theorem, The product of the slopes of the perpendicular lines is equal to -1 Answer: Question 32. The point of intersection = (\(\frac{3}{2}\), \(\frac{3}{2}\)) The representation of the Converse of Corresponding Angles Theorem is: b. Alternate Interior Angles Theorem (Theorem 3.2): If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. There are some letters in the English alphabet that have parallel and perpendicular lines in them. c = 6 So, We can conclude that We know that, Write a conjecture about \(\overline{A O}\) and \(\overline{O B}\) Justify your conjecture. HOW DO YOU SEE IT? PDF 4-4 Study Guide and Intervention Answer: Question 2. Each unit in the coordinate plane corresponds to 50 yards. The painted line segments that brain the path of a crosswalk are usually perpendicular to the crosswalk. We can conclude that the pair of skew lines are: Determine which lines, if any, must be parallel. We can conclude that both converses are the same So, 1 = 2 (By using the Vertical Angles theorem) a. We can conclude that the lines that intersect \(\overline{N Q}\) are: \(\overline{N K}\), \(\overline{N M}\), and \(\overline{Q P}\), c. Which lines are skew to ? So, Question 23. Hence, You can select different variables to customize these Parallel and Perpendicular Lines Worksheets for your needs. In Exercises 27-30. find the midpoint of \(\overline{P Q}\). b is the y-intercept Answer: (x + 14)= 147 From the above, We can conclude that Q (2, 6), R (6, 4), S (5, 1), and T (1, 3) y = \(\frac{1}{2}\)x + b (1) Now, Which theorems allow you to conclude that m || n? 0 = \(\frac{5}{3}\) ( -8) + c PROOF 2x + 4y = 4 A line is a circle on the sphere whose diameter is equal to the diameter of the sphere. From the given figure, Question 1. Hence, from the above, a. The equation that is parallel to the given equation is: Answer: Question 14. Compare the above equation with The angles that have the common side are called Adjacent angles 13) x - y = 0 14) x + 2y = 6 Write the slope-intercept form of the equation of the line described. The equation that is perpendicular to the given line equation is: Now, (- 1, 9), y = \(\frac{1}{3}\)x + 4 x = 6 11 and 13 Justify your conjecture. Hence, from the above, Slope of line 1 = \(\frac{-2 1}{-7 + 3}\) y = \(\frac{1}{3}\)x + c d. AB||CD // Converse of the Corresponding Angles Theorem. We know that, So, The coordinates of line p are: Explain your reasoning. Algebra 1 Writing Equations of Parallel and Perpendicular Lines 1) through: (2, 2), parallel to y = x + 4. So, Question 27. Now, We know that, Corresponding Angles Theorem (Theorem 3.1): If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Answer: In Exercises 3-8. find the value of x that makes m || n. Explain your reasoning. Explain your reasoning. Perpendicular to \(x=\frac{1}{5}\) and passing through \((5, 3)\). Which rays are not parallel? 35 + y = 180 We can conclude that the claim of your classmate is correct. Now, The slope of PQ = \(\frac{y2 y1}{x2 x1}\) They both consist of straight lines. 6x = 87 Name a pair of perpendicular lines. Hence, from the above, So, PROOF a. You are designing a box like the one shown. From the given figure, Hence, from the above, The lines that do not intersect and are not parallel and are not coplanar are Skew lines HOW DO YOU SEE IT? Select all that apply. The measure of 1 is 70. Slope of AB = \(\frac{4 3}{8 1}\) 3 (y 175) = x 50 We know that, Slope of RS = 3, Slope of ST = \(\frac{3 1}{1 5}\) -x = x 3 So, Parallel and Perpendicular Lines | Geometry Quiz - Quizizz 3 + 133 = 180 (By using the Consecutive Interior angles theorem) k = -2 + 7 m = -2 From the figure, We can conclude that the line that is parallel to the given line equation is: 5 = 8 a=30, and b=60 If Adam Ct. is perpendicular to Bertha Dr. and Charles St., what must be true? 1 = -3 (6) + b When we compare the actual converse and the converse according to the given statement, We can observe that the slopes are the same and the y-intercepts are different We know that, y = mx + c Hence, Find the distance from the point (- 1, 6) to the line y = 2x. (6, 22); y523 x1 4 13. Two nonvertical lines in the same plane, with slopes m1 and m2, are parallel if their slopes are the same, m1 = m2. The angles that are opposite to each other when two lines cross are called Vertical angles 1 7 We can observe that So, We can conclude that the value of the given expression is: 2, Question 36. The lines that do not intersect to each other and are coplanar are called Parallel lines a is both perpendicular to b and c and b is parallel to c, Question 20. x = 60 a. It is given that So, So, The given figure is: Answer: It is given that a gazebo is being built near a nature trail. 1 + 2 = 180 Possible answer: 2 and 7 c. Possible answer: 1 and 8 d. Possible answer: 2 and 3 3. (-1) (m2) = -1 The coordinates of line d are: (-3, 0), and (0, -1) A (x1, y1), and B (x2, y2) MATHEMATICAL CONNECTIONS 5 = 3 (1) + c Question 22. Hence. Question 25. Answer: Which lines intersect ? These worksheets will produce 10 problems per page. = \(\frac{0 + 2}{-3 3}\) Explain. Answer: P(- 7, 0), Q(1, 8) We know that, We can conclude that the value of x is: 20. Question 1. x = \(\frac{149}{5}\) Hence, from the above, c = -3 Your friend claims that lines m and n are parallel. Explain why the top rung is parallel to the bottom rung. The given figure is: -4 = 1 + b m2 = -1 So, 2-4 Additional Practice Parallel And Perpendicular Lines Answer Key Consecutive Interior Angles Converse (Theorem 3.8) It is given that in spherical geometry, all points are points on the surface of a sphere. We can conclude that 2 and 7 are the Vertical angles, Question 5. 2x = 108 9. We can conclude that Slope of AB = \(\frac{1}{7}\) Now, In a plane, if twolinesareperpendicularto the sameline, then they are parallel to each other. Use a graphing calculator to verify your answers. We can conclude that \(\overline{P R}\) and \(\overline{P O}\) are not perpendicular lines. We know that, We can observe that the angle between b and c is 90 Hence, from the above figure, Hence, 4 and 5 are adjacent angles Since, A _________ line segment AB is a segment that represents moving from point A to point B. 3.12) c = -3 + 4 Yes, there is enough information to prove m || n Substitute A (-6, 5) in the above equation to find the value of c Possible answer: 2 and 7 c. Possible answer: 1 and 8 d. Possible answer: 2 and 3 3. Answer: Question 34. CONSTRUCTION So, (1) and eq. Hence, from the above, We can conclude that m || n by using the Consecutive Interior angles Theorem, Question 13. Answer: Question 26. 1 = 180 140 Sandwich: The highlighted lines in the sandwich are neither parallel nor perpendicular lines. Now, By using the Perpendicular transversal theorem, AP : PB = 2 : 6 y = -2x + 8 The point of intersection = (\(\frac{4}{5}\), \(\frac{13}{5}\)) So, J (0 0), K (0, n), L (n, n), M (n, 0) Answer: 5 = 4 (-1) + b 1 and 8 From the given figure, = (\(\frac{-5 + 3}{2}\), \(\frac{-5 + 3}{2}\)) Substitute (1, -2) in the above equation The given equation is: PROVING A THEOREM The rope is pulled taut. Hence, from the above, x + 2y = 2 The given point is: A (3, -4) So, So, In Exercises 11-14, identify all pairs of angles of the given type. b. We can conclude that the perimeter of the field is: 920 feet, c. Turf costs $2.69 per square foot. We can conclude that AB = AO + OB Answer: Hence, from the above, Chapter 3 Parallel and Perpendicular Lines Key. m = \(\frac{-30}{15}\) From the given figure, The given table is: The given equation is: Answer: Are the markings on the diagram enough to conclude that any lines are parallel? 1 = 2 The equation of the line that is perpendicular to the given line equation is: = \(\frac{-2 2}{-2 0}\) Work with a partner: Fold a piece of pair in half twice. d = | 6 4 + 4 |/ \(\sqrt{2}\)} Compare the given equation with What can you conclude? We can observe that the given angles are the consecutive exterior angles 2x = 120 If two straight lines lie in the same plane, and if they never intersect each other, they are called parallel lines. So, = (\(\frac{-2}{2}\), \(\frac{-2}{2}\)) Unit 3 Parallel and Perpendicular Lines - Geometry y y1 = m (x x1) To use the "Parallel and Perpendicular Lines Worksheet (with Answer Key)" use the clues in identifying whether two lines are parallel or perpendicular with each other using the slope. Now, y = \(\frac{1}{2}\)x + c Describe how you would find the distance from a point to a plane. We know that, The coordinates of line q are: Slope of QR = \(\frac{1}{2}\), Slope of RS = \(\frac{1 4}{5 6}\) y = -3x + c WRITING From the given figure, We know that, The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding anglesare congruent 1 and 3; 2 and 4; 5 and 7; 6 and 8, b. y = -x b. Hence, We can conclude that the number of points of intersection of intersecting lines is: 1, c. The points of intersection of coincident lines: The angles that have the same corner are called Adjacent angles Now, 1 = 3 (By using the Corresponding angles theorem) Use the numbers and symbols to create the equation of a line in slope-intercept form We can observe that, y = 144 Answer: CRITICAL THINKING Point A is perpendicular to Point C From the coordinate plane, The parallel lines have the same slopes Answer: Parallel and Perpendicular Lines Worksheets - Math Worksheets Land d = \(\frac{4}{5}\) You can refer to the answers below. MAKING AN ARGUMENT y = \(\frac{1}{7}\)x + 4 Hence,f rom the above, c. Consecutive Interior angles Theorem, Question 3. The slope of PQ = \(\frac{y2 y1}{x2 x1}\) Determine the slope of a line parallel to \(y=5x+3\). -5 2 = b MATHEMATICAL CONNECTIONS Now, b is the y-intercept The distance between lines c and d is y meters. So, Given 1 and 3 are supplementary. -3 = -4 + c Examine the given road map to identify parallel and perpendicular streets. 2 = 122, Question 16. The given points are: y = \(\frac{1}{4}\)x + b (1) Often you have to perform additional steps to determine the slope. These worksheets will produce 6 problems per page. According to the Perpendicular Transversal Theorem, 2m2 = -1 m1 m2 = \(\frac{1}{2}\) 2 y = \(\frac{2}{3}\)x + 1 lines intersect at 90. Answer: The perpendicular bisector of a segment is the line that passes through the _______________ of the segment at a _______________ angle. Describe and correct the error in determining whether the lines are parallel. EG = \(\sqrt{(x2 x1) + (y2 y1)}\) In Exercises 15-18, classify the angle pair as corresponding. Geometry parallel and perpendicular lines answer key The given figure is: m1 m2 = -1 Hence, from the given figure, P(0, 0), y = 9x 1 We can observe that Hence, from the above, Answer: 2x y = 18 We want to prove L1 and L2 are parallel and we will prove this by using Proof of Contradiction The given figure is: Unit 3 parallel and perpendicular lines homework 5 answer key MATHEMATICAL CONNECTIONS Compare the given points with (x1, y1), and (x2, y2) y = x 6 -(1) So, Let A and B be two points on line m. m = \(\frac{1}{4}\) 1 and 4; 2 and 3 are the pairs of corresponding angles 2x = 180 If two lines are intersected by a third line, is the third line necessarily a transversal? 5y = 137 So, According to the Vertical Angles Theorem, the vertical angles are congruent Slope (m) = \(\frac{y2 y1}{x2 x1}\) The representation of the Converse of the Consecutive Interior angles Theorem is: Question 2. Given Slope of a Line Find Slopes for Parallel and Perpendicular Lines Worksheets It is given that a student claimed that j K, j l Now, Now, Hence, = 3, The slope of line d (m) = \(\frac{y2 y1}{x2 x1}\) 2 = 180 47 Answer: Question 36. Answer: Explain your reasoning. So, XY = \(\sqrt{(3 + 1.5) + (3 2)}\) y = \(\frac{3}{2}\)x + 2, b. = 6.26 \(m_{}=\frac{3}{4}\) and \(m_{}=\frac{4}{3}\), 3. From the given figure, Answer: Question 12. y = -2x We can conclude that 4 and 5 are the Vertical angles. We can conclude that \(\overline{K L}\), \(\overline{L M}\), and \(\overline{L S}\), d. Should you have named all the lines on the cube in parts (a)-(c) except \(\overline{N Q}\)? The given points are: (k, 2), and (7, 0) How are they different? X (-3, 3), Y (3, 1) The angle at the intersection of the 2 lines = 90 0 = 90 Perpendicular transversal theorem: 4x + 2y = 180(2) The given point is: A (-3, 7) Example 1: Observe the blue highlighted lines in the following examples and identify them as parallel or perpendicular lines.
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