Find the constant of variation k for the direct variation. 4x = - 6y

Since Direct Variation is y = kx, this is what you would do:

4x = - 6y

(4x) / - 6 = (-6y) / - 6

(-4/6) x = y

y = (-4/6) x

The constant being multiplied to x is (-4/6) so k = (-4/6)