A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Step-by-step explanation:

The direct variation is defined as

where, k is constant of proportionality.

It is given that a direct variation function contains the points (-8,-6) and (12, 9).

Substitute x=-8 and y=-6 in the above equation.

Divide both sides by -8.

The value of constant of proportionality is . So, the required equation is

At x=12,

It means, the line passing through (12,9). Hence, the equation is correct.

Therefore, the equation of the function is .

no solution

step-by-step explanation:

there is not enough information in the problem to solve.