NAME Date
3.7/3.8 Worksheet
Find the slope of the line passing through the given points.
1. 2.
3. (2, 3), (-1, -6) 4. (-6, -2), (-3, -6) 5. (2, 9), (4, -7)
Graph each line.
6. y = 3x - 4 7. x = 3 8. y + 2 = -4(x + 3)
Use the given information to write an equation for each line.
9. slope 6, y-intercept 4 10. slope -, y-intercept -2
11. through (-2, 0) and (3, 10) 12. through (10, 2) and (2, -2)
Write each equation in slope-intercept form.
13. y - 3 = 4(x + 2) 14. y - 2 = -2(x - 5) 15. y +1 = (x + 4)
In Exercises 1 and 2, are lines m1 and m2 parallel, perpendicular, or neither? Explain.
1.
16. 17. 18. 19.
Write an equation of the line parallel to that contains point C.
20. : y = -5x + 12; C(-2, 1) 21. : y = x + 7 ; C(7, 1)
22. : y = x + 8 ; C(3, 6) 23. : y = -x + 5; C(5, -2)
Write an equation of the line perpendicular to the given line that contains P.
24. P(-6, 5); y = 2x - 3 25. P(4, 3); y = -3x - 15
26. P(-6, -3); y = x- 1 27. P(5, 5); y = x + 11
Rewrite each equation in slope intercept form. Then determine whether the lines are parallel. Explain.
28. 2y = x + 15 29. 10y + 130 = 50x 30. 2y = 15 + 4x
x = 2y + 5 -5y = 2x + 11 6y - 30 = 12x
Rewrite each equation in slope-intercept form. Then determine whether the lines are perpendicular. Explain.
31. y - 1 = -x -6 32. 33.
2y = 8x + 18 5y = 2x + 6
34. A town’s building code states that stairs and ramps must have a handrail. The sketch at the right has a scale of 7 in. to each grid space.
a. The handrail needs to be at least 35 in. above the ramp. Mark the point 35 in. above the top of the ramp. What are its coordinates?
b. What is the equation of the line for the handrail?