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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.
Find the slope of each line. Are the lines parallel?
 4.




 5.




 6.




Find the slope of each line. Are the lines perpendicular?
 7.
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)
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)
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.
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.
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.
4.




5.
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.
15.
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
20. y – 3 = –3x + 2




21. y + 6 = 3




22. 2(x –l) = –y




23. x – 4 = 0
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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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.