I can write and graph an equation of a direct variation.

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Presentation transcript:

I can write and graph an equation of a direct variation.

Direct Variation

Identifying a Direct Variation

Graphing a Direct Variation  Solve for the constant of variation.  Write an equation.  Make a table of values.  Graph the ordered pairs.  Connect the points if necessary.  The line always passes through (0,0)

Writing a Direct Variation  Suppose y varies directly with x, and y = 35 when x = 5. What direct variation equation relates x and y?  A direct variation is of the form: y = kx  So, 35 = k(5)  Solve for k by division: 7 = k  Write an equation using 7 for k: y = 7x

From a Table

Assignment  Odds  P. 304 #9-33