1 / 6

Direct Variation Equations and Constant of Variation

Learn how to identify direct variation equations and determine the constant of variation. Practice exercises provided.

tbowers
Download Presentation

Direct Variation Equations and Constant of Variation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. a. 2x – 3y = 0 b. –x + y = 4 EXAMPLE 1 Identify direct variation equations Tell whether the equation represents direct variation. If so, identify the constant of variation.

  2. 2 2 x y = 3 3 2x – 3y = 0 ANSWER Because the equation 2x – 3y = 0 can be rewritten in the form y = ax, it represents direct variation. The constant of variation is . EXAMPLE 1 Identify direct variation equations SOLUTION To tell whether an equation represents direct variation, try to rewrite the equation in the form y = ax. Write original equation. –3y = –2x Subtract 2x from each side. Simplify.

  3. ANSWER Because the equation –x + y = 4 cannot be rewritten in the form y = ax, it does not represent direct variation. EXAMPLE 1 Identify direct variation equations b. Write original equation. –x + y = 4 y = x + 4 Add xto each side.

  4. ANSWER not direct variation for Example 1 GUIDED PRACTICE Tell whether the equation represents direct variation. If so, identify the constant of variation. 1. –x + y = 1

  5. ANSWER direct variation; –2 for Example 1 GUIDED PRACTICE Tell whether the equation represents direct variation. If so, identify the constant of variation. 2. 2x +y = 0

  6. ANSWER 4 direct variation; 5 for Example 1 GUIDED PRACTICE Tell whether the equation represents direct variation. If so, identify the constant of variation. 3. 4x – 5y = 0

More Related