Answer:
[tex]k = - \frac{3}{2}[/tex]
Step-by-step explanation:
If y varies directly with x, then from the relation of direct variation we can write y ∝ x
Now, converting the variation relation to equation relation,
⇒ y = kx ........... (1) {Where k is the constant of variation}
Now, given that at y = - 3, x = 2 and this solution will satisfy the equation (1).
Hence, - 3 = 2k
⇒ [tex]k = - \frac{3}{2}[/tex] (Answer)