Question

Does the equation represent a direct variation? If so, find the constant of variation.

Answer 1

Answer:

Variation constant = $-(\frac{5}{3})$

Step-by-step explanation:

If two variables x and y represent a direct variation then they will have the relation as y = kx

Here k is the constant of variation.

Since the given equation that represent a direct variation is 5x = -3y

3y = -5x

$y=(-\frac{5}{3})x$

If we compare this equation with y = kx then we find $k=(-\frac{5}{3})$

Therefore constant of variation is $-(\frac{5}{3})$