4.6 Direct Variation

Find the constant of variation.

y varies directly with x and y=72 when x=6.

10

11

-11

12

In this graph, k is what?

undefined

negative

zero

positive

Is this graph a direct

varition graph?

yes or no

Is this graph a direct

variation graph?

yes or no

Which of these is NOT required for

a graph to be a direct varition graph?

go through origin

k (or slope) cannot be 0

linear

positive slope

Find the constant of variation.

y varies directly with x and y=55 when x=11.

5

-5

44

66

What is the equation

of this graph?

y=-½x

y=½x

y=-2x

y=2x

What is the equation

of this graph?

y=3x

y=⅓x

y=-3x

y=-⅓x

y varies directly with x. 

Write an equation that relates x and y

if y=32 and x=8.

32=x

y=4x

y=8x

y=32x

y varies directly with x. 

Write an equation that relates x and y

if y=56 and x=8.

y=7x

x=7y

y=8x

8y=x
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