Answer:
k = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Since y varies directly as x then the equation connecting them is
y = kx ← k is the constant of variation
to find k use the given condition y = - 3 when x = 2, hence
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
