Question

Find the constant of variation k for the direct variation 4x = -y

Answer 1

y=kx
solve for y

-y=4x
divide both sides by -1 aka times -1 both sides
y=-4x
y=kx

the constnat is -4

Answer 2

The constant of variation k is, -4

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