A direct variation function contains the points (-8, -6) and (12,9). Which equation represents the function? O y=-4/3x
Oy= -3/4x
Oy= 3/4x
Oy=4/3x

y =

Step-by-step explanation:

Each point is (x,y). So to find the equation, substitute both points into the given choices.

To test the first choice: y = substitute -8 into x and -6 into y

-6 =

-6(3) = (-4)(-8)

-18 ≠ 32

Since the numbers are not equal this is not the correct equation. Move on to testing the next equation in the same manner.

The third equation y = satisfies both points

Test for point (-8,-6)

-6 =

-6(4) = (3)(-8)

-24 = -24

Test for point (12,9)

9 =

9(4) = (3)(12)

36 = 36