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Which equations show a direct variation between x and y when solved for y?

Choose ALL answers that are correct.

A. -10+y=3x-10
B. y=-1/8x
C. y+9=9x
D. y=x-1

1 Answer

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The equations that show a direct variation between x and y when solved for y are:

A. -10+y=3x-10
B. y=-1/8x

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equation describing this direct variation is y = 3x .
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