Question

Y= 15/2 when x = -5
Write direct variation that relates x and y

Answer 1

`y=-1.5x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In this problem we have

y=15/2 when x=-5

Find the constant of proportionality k

`k=(y)/(x)`

substitute the given values

`k=((15/2))/(-5)=-1.5`

therefore

The linear equation that relates x and y is equal to

`y=-1.5x`