Assume that y varies inversely with x. if y=7 when x=-2, find y when x=7

y=-2

Step-by-step explanation:

The formula for inverse variation is

xy =k

if y=7 when x=-2, we can substitute these numbers in to find k

(-2)(7) =k

-14 =k

The equation becomes

xy = -14

Let x =7

7y = -14

Divide each side by 7

7y/7 = -14/7

y = -2

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.