Question

"A direct variation function contains the points (-9, -3) and (-12, 4). Which equation represents the function?

a - y=-3x
b - y=-x/3
c - y=x/3
d - y = 3x"

Answer 1

The equation that represents the function is y = -3x.

Step-by-step explanation:

The equation that represents the function is y = -3x. A direct variation function can be written in the form y = kx, where k is a constant. To find the value of k, we can use the given points (-9, -3) and (-12, 4) and substitute them into the equation.

For the point (-9, -3), we have: -3 = k(-9). Solving for k, we get k = -1/3.

For the point (-12, 4), we have: 4 = k(-12). Solving for k, we get k = -1/3 again.

Since k is the same for both points, the equation that represents the function is y = -3x.