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### Find Slope, write, and graph line equations

• 1. Name __________________________________ Date ___________________ LESSON 3.4 Practice A For use with pages 171–179 Find the slope of the line that passes through the points. 1. 2. 3.
• 2. Find the slope of each line. Are the lines parallel? 4. 5. 6. Find the slope of each line. Are the lines perpendicular? 7.
• 3. 8. 9. Tell whether the lines through the given points are parallel, perpendicular, or neither. 10. Line 1: (–1, 3), (–1, 5) Line 2: (0, 0), (0, 6) 11. Line 1: (1, 1), (3, 3) Line 2: (2, 2), (0, 4) 12. Line 1: (–5, 2), (–3, 5) Line 2: (–2, 2), (1, 0) 13. Line 1: (–2, 3), (–5, 2) Line 2: (4, 1), (5, 3) 14. Line 1: (–3, –2), (1, 2) Line 2: (1, 3), (4, 6) 15. Line 1: (–3, 4), (1, 2) Line 2: (6, 2), (8, 1)
• 4. Tell which line through the given points is steeper. 16. Line 1: (0, 0), (1, 3) Line 2: (0, 0), (4, 6) 17. Line 1: (0, 3), (4, 5) Line 2: (1, –1), (5, 4) 18. Line 1: (–1,0), (4, 5) Line 2: (–2, 0), (4, 3), 19. Line 1: (–3, 6), (0, 0) Line 2: (–2, 2), (0,0) 20. Line 1: (1, 2), (2, 3) Line 2: (2, 4), (4, –2) 21. Line 1: (1, 4), (4, 4) Line 2: (2, –1), (6, 3)
• 5. Name __________________________________ Date ___________________ LESSON 3.4 Practice A continued For use with pages 171–179 Graph the line parallel to line AB that passes through point P. 22. 23. 24.
• 6. Graph the line perpendicular to line AB that passes through point P. 25. 26. 27. In Exercises 28 and 29, consider the three given lines. Line a: through the point (2, 0) with a y-intercept of (0, 2) Line b: through the point (2, 0) with a y-intercept of (0, 4) Line c: through the point (2, 0) with a y-intercept of (0, 6) 28. Which line is most steep? 29. Which line is least steep? 30. Motocross Ramp A motocross ramp is 12 feet tall and 24 feet long.
• 7. a.What is the slope of the ramp? b.If the motocross ramp was 16 feet tall, would the ramp be more steep or less steep than the 12-foot tall ramp? Name __________________________________ Date ___________________ LESSON 3.5 Practice B For use with pages 180–187 Write an equation of line AB in slope-intercept form. 1. 2. O 3.
• 9. 6. Write an equation of the line that passes through point P and is parallel to the line with the given equation. 1 7. P(–2,0); y = – x+ 6 2 8. P(3, 9); y = 4x– 8 9. P(–5, –4); y = –2x – 10 Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. 1 10. P(5, 20); y = x+8 2 1 11. P(4, 5); y = – x–6 3 12. P(3, 5); y = 4 Write an equation of the line that passes through point P and is parallel to line AB. 13. 14.
• 10. 15.
• 11. Name __________________________________ Date ___________________ LESSON 3.5 Practice B continued For use with pages 180-187 Write an equation of the line that passes through point p and is perpendicular to line AB. 16. 17. 18. Graph the equation. 19. –2x + y = –1
• 12. 20. y – 3 = –3x + 2 21. y + 6 = 3 22. 2(x –l) = –y 23. x – 4 = 0
• 13. 24. 2y – 4 = 2x 25. Country Club The graph models the total cost of joining a country club. Write an equation of the line. Explain the meaning of the slope and the y-intercept of the line.
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