direct variation goal: write and graph direct variation equations section 2-6:

DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

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DIRECT VARIATION

GOAL: WRITE AND GRAPH DIRECT

VARIATION EQUATIONS

Section 2-6:

Direct Variation

Two variables x and y show direct variation, or vary directly, if y = kx where k is a nonzero constant called the constant of variation.

The graph of y = kx is a line with slope k. The y-intercept is 0 (zero), so the graph of any direct variation equation passes through the origin.

Page 3: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Example 1: Graph y = 2x

Page 4: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Graph y = 2/3 x

Page 5: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Graph y = -4x

Page 6: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Example 2:

A recipe for fruit punch uses 2 lemons to make 7 cups of punch. Write an equation relating the number of servings y to the number of lemons x. How many cups of punch can you make if you have 8 lemons?

Page 7: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Checkpoint:

The variables x and y vary directly. Write an equation that relates x and y. x= 3, y = -9

y = kx-9 = k*3k =-3y=-3x

Page 8: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Checkpoint:

The variables x and y vary directly. Write an equation that relates x and y. x = 10, y = 2

y = kx2 = k*101/5 = ky = 1/5 x

Page 9: DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

P. 103-10510-34 EVEN50-66 EVEN

HOMEWORK:

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