Question

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:

The equation of a direct variation is generally written as:

$y = mx$

Where m is the slope of the equation of the direct variation line.

We want a direct variation equation that contains (6,-2).

We substitute the x=6 and y=-2 to find m.

$- 2 = 6m$

Divide both sides by 6.

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

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

The required equation is

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