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Name: _______________________________ Chapter 3 – Lesson 4: Direct Variation Name the constant of variation for each equation. Then find the slope of the line that passes through each pair of points. 1. 2. Graph each equation. 3. y=−x 4. y= 3 4 x 5. y=−8 x 6. y= 8 5 7. y=10 x 8. y=−7 x 9. y=x 10. y= 7 6 x Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve. 11. If y=15 when x=12, then find y when x=32. 12. If y=−11 when x=6, then find x when y=44 . 13. If y=6 when x=10, then find x when y=18 .

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Page 1: mrs · Web viewName: _____ Chapter 3 – Lesson 4: Direct Variation Name the constant of variation for each equation. Then find the slope of the line that passes through each pair

Name: _______________________________Chapter 3 – Lesson 4: Direct Variation

Name the constant of variation for each equation. Then find the slope of the line that passes through each pair of points.

1. 2.

Graph each equation.

3. y=−x4. y=3

4x 5. y=−8 x

6. y=−85

7. y=10 x 8. y=−7x 9. y=x10. y=

76x

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.11. If y=15 when x=12, then find y when x=32.

12. If y=−11 when x=6, then find x when y=44 .

13. If y=6 when x=10, then find x when y=18 .

14. If y=22 when x=8, then find y when x=−16 .

Page 2: mrs · Web viewName: _____ Chapter 3 – Lesson 4: Direct Variation Name the constant of variation for each equation. Then find the slope of the line that passes through each pair