Answer:
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 .