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Direct Variation

Direct Variation. Unit 7 Day 1. Vocabulary:. Direct Variation : a function in the form y = kx Constant of Variation : k; the coefficient of x. 1 3. 2 3. y = – + x. Is the equation a direct variation? If it is, find the constant of variation. a. 2 x – 3 y = 1.

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Direct Variation

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  1. Direct Variation Unit 7 Day 1

  2. Vocabulary: • Direct Variation: a function in the form y = kx • Constant of Variation: k; the coefficient of x

  3. 1 3 2 3 y = – +x Is the equation a direct variation? If it is, find the constant of variation. a. 2x – 3y = 1 –3y = 1 – 2x Not a direct variation.

  4. 2 3 y = x Yes, a direct variation. The constant of variation is . 2 3 Is the equation a direct variation? If it is, find the constant of variation. b. 2x – 3y = 0 –3y = –2x

  5. More Practice: • Is 7y = 2x a direct variation? If it is, find the constant of variation. • Is 3y + 4x = 8 a direct variation? If it is, find the constant of variation. • Is y – 7.5x = 0 a direct variation? If it is, find the constant of variation.

  6. 2 3 – = k 2 3 y= – x . Write an equation for the direct variation that includes the point (–3, 2). y = kx 2 = k(–3) Substitute

  7. Quick Check • Write the equation of the direct variation that includes the point (-3, -6).

  8. y x xy –2 1 2 –1 4 –2 xy –1 2 1 2 2 –4 y x y x –0.5 –2 –0.5 2 –0.5 –2 For the data in each table, use the ratio to tell whether y varies directly with x. If it does, write an equation for the direct variation. a. b. No Yes, y= –0.5x.

  9. Quick Check

  10. Homework Direct Variation worksheet

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