Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.

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Presentation transcript:

Direct Variation 3.6

Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is called the constant of variation  Ex. y = 5x is direct variation while y = x + 5 is not

Example 1  Does the equation represent a direct variation?  2x – 3y = 0-x + y = 4

Example 2  Graph a direct variation equation  Y=2/3 xy = -3x

Write a direct variation Equation  Start with y = kx  Substitute a known x and y  Solve for k

Example 3  Write the equation for the direct variation represented in the graph.

Homework  p : 3-9 all, odd (graph paper and rulers needed), all