Question

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

Answer 1

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

Answer 2

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