Question

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


(A.) k = -2/3 (B.) k = 2/3 (C.) k = -3/2 (D.) k = -6

Answer 1

k = - $\frac{2}{3}$ → A

the equation for direct variation is y = kx ( k is the constant of variation )

thus k = $\frac{y}{x}$

given - 6y = 4x is a direct variation equation then

k = $\frac{4}{- 6}$ = - $\frac{2}{3}$

k =