2_5 - Chapter 2 Graphs 2.5 1. 3. 5. Parallel and...

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Chapter 2 250 Graphs 2.5 Parallel and Perpendicular Lines 1. m 1 = m 2 , y-intercepts, m 1 m 2 = - 1 2. 2 3. - 1 2 4. False 5. (a) parallel line: slope = 6 (b) perpendicular line: slope = - 1 6 6. (a) parallel line: slope = –3 (b) perpendicular line: slope = 1 3 7. (a) parallel line: slope = - 1 2 8. (a) parallel line: slope = 2 3 (b) perpendicular line: slope = 2 (b) perpendicular line: slope = - 3 2 9. 2 x - 4 y + 5 = 0 y = 1 2 x + 5 4 10. 3 x + y = 4 y = - 3 x + 4 (a) parallel line: slope = 1 2 (a) parallel line: slope = –3 (b) perpendicular line: slope = –2 (b) perpendicular line: slope = 1 3 11. 3 x + 5 y - 10 = 0 y = - 3 5 x + 2 12. 4 x - 3 y + 7 = 0 y = 4 3 x + 7 3 (a) parallel line: slope = - 3 5 (a) parallel line: slope = 4 3 (b) perpendicular line: slope = 5 3 (b) perpendicular line: slope = - 3 4 13. (a) parallel line: slope is undefined 14. (a) parallel line: slope = 0 (b) perpendicular line: slope = 0 (b) perpendicular line: slope is undefined 15. y - y 1 = m ( x - x 1 ), m = 2 y - 3 = 2( x - 3) y - 3 = 2 x - 6 y = 2 x - 3 2 x - y = 3 or y = 2 x - 3 16. y - y 1 = m ( x - x 1 ), m = - 1 y - 2 = - 1( x - 1) y - 2 = - x + 1 y = - x + 3 x + y = 3 or y = - x + 3
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Parallel and Perpendicular Lines 251 17. y - y 1 = m ( x - x 1 ), m = - 1 2 y - 2 = - 1 2 ( x - 1) y - 2 = - 1 2 x + 1 2 y = - 1 2 x + 5 2 x + 2 y = 5 or y = - 1 2 x + 5 2 18. y - y 1 = m ( x - x 1 ), m = 1 y - 1 = 1( x - ( - 1)) y - 1 = x + 1 y = x + 2 x - y = - 2 or y = x + 2 19. Parallel to y = 2 x ; Slope = 2 Containing (–1,2) y - y 1 = m ( x - x 1 ) y - 2 = 2( x - ( - 1)) y - 2 = 2 x + 2 y = 2 x + 4 2 x - y = - 4 or y = 2 x + 4 20. Parallel to y = - 3 x ; Slope = –3 Containing the point (–1,2) y - y 1 = m ( x - x 1 ) y - 2 = - 3( x - ( - 1)) y - 2 = - 3 x - 3 y = - 3 x - 1 3 x + y = - 1 or y = - 3 x - 1 21. Parallel to 2 x - y = - 2 ; Slope = 2 Containing (0,0) y - y 1 = m ( x - x 1 ) y - 0 = 2( x - 0) y = 2 x 2 x - y = 0 or y = 2 x 22. Parallel to x - 2 y = - 5 ; Slope = 1 2 Containing the point (0,0) y - y 1 = m ( x - x 1 ) y - 0 = 1 2 ( x - 0) y = 1 2 x x - 2 y = 0 or y = 1 2 x 23. Parallel to x = 5 Containing (4,2) This is a vertical line. x
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2_5 - Chapter 2 Graphs 2.5 1. 3. 5. Parallel and...

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