Answer:
The constant of variation k is, -4
Step-by-step explanation:
The direct variation says that:
\(y \propto x\), then the equation is in the form of:
\(y=kx\) ....[1] where, k is the constant of variation.
As per the statement:
Given the direct variation:
\(4x = -y\)
Divide both sides by -1 we have;
\(-4x = y\)
or
y = -4x
On comparing with [1] we have;
k = -4
Therefore, the constant of variation k is, -4
