5-2 Direct Variation.

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Presentation transcript:

5-2 Direct Variation

Direct Variation: a relationship that can be represented by a function in the form 𝑦=𝑘𝑥, 𝑤ℎ𝑒𝑟𝑒 𝑘≠0 The Constant of variation for a direct variation k is the coefficient of x To determine whether an equation represents a direct variation, solve for y. If you can write the equation in the form 𝑦=𝑘𝑥, 𝑤ℎ𝑒𝑟𝑒 𝑘≠0, it represents a direct variation

Problem 1 Identifying Direct Variation Does the equation represent direct variation? If so, find the constant variation.

Does the equation represent direct variation Does the equation represent direct variation? If so, find the constant variation.

Problem 2: Writing a Direct Variation Equation

Problem 4 Writing a Direct Variation From a Table For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

For the data in the table, does y vary directly with x For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Graphs of Direct Variation

Problem 3: Graphing Direct Variation Graph the direct variation: 𝒚= 𝟐 𝟑 𝒙

Graph the direct variation: 𝒚=−𝟓𝒙