Question

Write an equation in slope intercept form for a line parallel to y=- 3 x + 3 containing (-8, 6).

Answer 1

`y=-3x-18`

Explanation:

First, we must recognize the fact that when lines are parallel to each other, they have the same slope.

With this realization, we know that the slope of the line that we must find, has to have the same slope as the given line. In this case, that slope is -3.

Next, plug in the slope, -3, and the given point into the point-slope formula in order to get the equation of the line in slope intercept form.

`y-6=-3(x-(-8))\\\\y-6=-3(x+8)\\\\y-6=-3x-24\\\\y=-3x-24+6\\\\y=-3x-18`