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Direct Variation

Direct Variation. y = mx (no b) Lines that go through the origin Y intercept of zero Slope also called constant of variation (variation constant). Examples of Direct Variation y = -2x y = 2x. Checking for Direct Variation Graph --> is it a straight line through the origin?

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Direct Variation

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  1. Direct Variation • y = mx (no b) • Lines that go through the origin • Y intercept of zero • Slope also called constant of variation (variation constant)

  2. Examples of Direct Variationy = -2x y = 2x

  3. Checking for Direct Variation Graph --> is it a straight line through the origin? Equation --> does it fit y = mx? (may need to solve for y)

  4. Do these lines illustrate direct variation?y = -1/2x x = -3

  5. What is the variation constant?y = -1/2x x = -3

  6. Are these equations direct variation? y = 5x y = -3/4x y = -2x - 7

  7. Are these equations direct variation? y = 5x --> Yes! y = -3/4x --> Yes! y = -2x - 7 --> No (y-int not 0)

  8. Are these equations direct variation? 2x + y = 0 -x + y = -1 4x - 5y = 0

  9. Are these equations direct variation? 2x + y = 0 --> y = -2x --> YES -x + y = -1 --> y = x - 1 --> NO 4x - 5y = 0 --> y = 4/5x --> YES

  10. Online Animation www.classzone.com

  11. Homework p256 #2-8 E, 11-22 C6, 58-62 E

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