Question

Suppose y varies directly with x. When
xis -2, y is 10. Write the equation that
relates x and y.

Answer 1

Answer:

$y=-5x$

Step-by-step explanation:

we know that

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

In this problem we have

For x=-2, y=10

Find the value of the constant of proportionality k

$k=y/x$

substitute the value of x and the value of y

$k=10/-2=-5$

so

The linear equation is equal to

$y=-5x$