Question

Tell whether the equation 5x + y = 0

represents a direct variation. If so, identify the
constant of variation.

Answer 1

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

The constant of variation is k=-5

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