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