What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

To solve for this, use your points to plug them into the x and y values knowing that the x value in the point is -3 and the y value is 2. When you plug in the points, you should get this:

2=k(-3)

Then, because the question asks to solve for the constant of variation, or k, divide both sides by -3 to solve for k. This would get you to your answer,

k=-2/3

i hope this is what you were looking for.

see attached graph