# What is the equation of the line that passes through #(-2,1) # and is perpendicular to the line that passes through the following points: #(-16,4),(6,12)?

##### 1 Answer

Aug 1, 2016

Let's first find the equation of the line that it's perpendicular to. We need to find the slope for this:

Now, by point-slope form:

The slope of a line perpendicular to another always has a slope that is the negative reciprocal of the other line.

Hence,

Again, by point-slope form:

Hopefully this helps!