This document contains a multi-part math worksheet involving slope, parallel and perpendicular lines, and linear equations. It includes exercises asking students to find the slope of lines between given points, determine if lines are parallel or perpendicular, write equations of lines parallel or perpendicular to given lines and passing through given points, graph linear equations, and interpret the slope and y-intercept of a line modeling a real-world scenario. The worksheet provides practice for students on key concepts relating to lines and linear 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.

8. 4.
5.

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.