1. Determine the slope of the line that contains the points with coordinates (1, 5) and (−2, 7).2. Line m contains the points with coordinates (−4, 1) and (5, 8), and line n contains the points with coordinates (6, −2) and (10, 7). Are the lines parallel, perpendicular, or neither? Justify your answer. A drafter finished the first stage of a drawing of a metal part. Use the drawing for Items 3–6. y x 6 8 102 –24 2 –2 4 6 8 10 C D E G A B F3. The drafter needs to confirm that AG CD || AG CD. Are these segments parallel? Explain.4. The drafter also needs to confirm that BF FD ⊥ . Are these segments perpendicular? Explain.5. Which segments in the diagram are perpendicular to GE?6. Name a segment that is neither parallel nor perpendicular to BC. 7. PQ sr u uhas a slope of 1 3 . What is the slope of a line perpendicular to PQ sr u u ?A. −3 B. − 1 3C. 1 3D. 38. VW sr u u uhas a slope of 5. What is the slope of a line parallel to VW sr u u u ? A. −5 B. − 1 5C. 1 5D. 5 Use the diagram for Items 9 and 10. y x s 4 2 –2 –4 –2 –4 2 4 (4, 4) (–4, –2)9. What is the slope of a line parallel to line s?10. What is the slope of a line perpendicular to line s? Lesson 8-211. Which of the following is NOT an equation for a line parallel toyx =− 1 2 6?A. yx =+ 2 4 6 B. y = 0.5x − 3C. yx =+ 1 2 1 D. y = 2x − 412. Determine the slope of a line perpendicular to the line with equation 6x − 4y = 30. (TXDWLRQV RI 3DUDOOHO DQG 3HUSHQGLFXODU /LQHV Skateboard Geometry continued continued continued ACTIVITY 8 Activity 8 • Equations of Parallel and Perpendicular Lines 97 (TXDWLRQV RI 3DUDOOHO DQG 3HUSHQGLFXODU /LQHV Skateboard Geometry Use the diagram for Items 13 and 14. y x 4 2 –2 –4 –2 –4 2 4 t (–4, 3) (2, 1)13. Which of the following represents a line parallel to line t?A. y = −x + 7 B. yx =− + 1 3 5C. yx =− 1 3 2 D. y = x − 414. Which of the following represents a line perpendicular to line t?A. y = −3x + 4 B. yx =− − 1 3 1C. yx =− 1 3 5 D. y = 3x + 415. Consider the line with equation y = −2x + 2.a. Can you write the equation of a line through point (3, −4) that is parallel to the given line? Explain. b . Can you write the equation of a line through point (3, −4) that is perpendicular to the given line? Explain.16. Suppose you are given the equation of a line and the coordinates of a point not on the line. Explain how to write the equation of a perpendicular line that passes through the point.17. What is the equation of a line through point (0, 5) that is parallel to the line with equation y = x − 7?18. What is the equation of a line through point (−4, 5) that is perpendicular to the line with equation y = −6x + 4? Use the diagram for Items 19 and 20. y x 6 8 2 4 2 4 6 8 J L K M19. Use the Distance Formula to show that JM MK ≅ . 20. Is LM sr u uthe perpendicular bisector of JK? Explain how you know.