Answer:
[tex]y = - \frac{1}{3}x[/tex]
Step-by-step explanation:
The equation of a direct variation is generally written as:
[tex]y = mx[/tex]
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.
[tex] - 2 = 6m[/tex]
Divide both sides by 6.
[tex] \frac{ - 2}{ 6} = \frac{6m}{ 6} [/tex]
[tex] - \frac{1}{3} = m[/tex]
The required equation is
[tex]y = - \frac{1}{3}x[/tex]
