Question

Find the equation of the line that

is perpendicular to y = -8x + 2
and contains the point (-4, 1).

Answer 1

=-8x+2

Explanation:

step by step explanation

Answer 2

Explanation:

Perpendicular lines will have negative inverse slopes of each other. In this case, the slope of the known line is -8. The negative of -8 or -(-8) is just +8. The inverse of +8 is +1/8.

Now we know the slope of the line perpendicular to y=-8x+2 and we are given the point (-4,1).

All linear lines have the form of y=mx+b and we know the slope.

y=1/8x+b

We plug in (-4,1) into the equation:

1=1/8 * -4 +

1=-1/2+b

b=3/2

We now have the b constant and can simply just write the equation:

y=1/8x+3/2