Question

Write an equation of the direct variation that includes the point (9, -12).

Answer 1

Answer:

$y=-\frac{4}{3}x$

Step-by-step explanation:

we know that

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

step 1

Find the value of k

we have

the point (9,-12)

x=9, y=-12

$k=y/x$

substitute

$k=-12/9=-4/3$

step 2

Find the equation

$y=kx$

so

$y=-\frac{4}{3}x$