Question

A line has this equation: y=-3x+7

Answer 1

Given:

The equation of line is $y=-3x+7$.

A line is parallel to given equation and passes through the point (-4,-8).

To find:

The equation of parallel line.

Solution:

The equation of a line is

$y=-3x+7$

On comparing this equation with $y=mx+b$, we get

$m=-3$

So, slope of given line is -3.

We know that, slopes of parallel lines are equal. It means, the slope of the parallel line is also -3.

The parallel line passes through (-4,-8) and having slope -3. So, the equation of line is

$y-y_1=m(x-x_1)$

$y-(-8)=(-3)(x-(-4))$

$y+8=(-3)(x+4)$

$y+8=-3x-12$

$y=-3x-12-8$

$y=-3x-20$

Therefore, the equation of parallel line is $y=-3x-20$.