Answer:
Option A is correct.
The constant of variation is, [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The Direct variation says that:
if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.
Given: if y varies directly as x.
By definition of direct Variation:
y = kx where is the constant of variation.
It is also given that: y = -3 and x =2
Solve for k;
-3 = 2k
Divide both sides by 2 we have;
[tex]k = -\frac{3}{2}[/tex]
Therefore, the constant of variation is, [tex]-\frac{3}{2}[/tex]
