Suppose y varies inversely with x. Write an equation if y=7 when x=-4

y = - 28 : x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k : x. The question asks us to write an equation if y = 7 when x = - 4 and y varies inversely with x.

So we substitute the values y = 7 and x = - 4 in the equation y = k : x

K = constant, we have to work this out

7 = k : - 4

7 * - 4 = k

k = - 4 * 7

k = - 28

k = - 28 So then we put this back into the original y = k : x to find our final equation which is y = - 28 : x