Question

Tell whether the equation 5x + y = 0

Answer 1

Answer:

The equation 5x + y = 0  represents a direct variation

The  constant of variation is k=-5

Step-by-step explanation:

We need to tell if the equation 5x+y=0 represents a direction variation or not.

The equation for direct variation is: $\mathbf{y=kx}$

where k is constant of variation.

In the given equation:

$5x+y=0\\y=-5x$

Comparing it with general equation for direct variation $\mathbf{y=kx}$ we get $y=-5x$ so equation represents direct variation.

Value of k is -5

So, the  constant of variation is k=-5