Question

Help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)

Answer 1

Answer: $y=\frac{1}{4} x-5$

Step-by-step explanation:

Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:

$y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5$

Notice how I plugged in the points given.