Question

3. Write an equation of the direct variation that includes the point (6, -2).

Answer 1

Answer:

$y=-\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation ( or direct variation) if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (6,-2)

so

Find the constant of proportionality k

$k=\frac{-2}{6}$

Simplify

$k=-\frac{1}{3}$

therefore

The equation of the direct variation is

$y=-\frac{1}{3}x$