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

The constant of variation k is, -4

Step-by-step explanation:

The direct variation says that:

, then the equation is in the form of:

       ....[1] where, k is the constant of variation.

As per the statement:

Given the direct variation:

Divide both sides by -1 we have;

or

y = -4x

On comparing with [1] we have;

k = -4

Therefore, the constant of variation k is, -4

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.