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)?
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.
Again, by point-slope form:
Hopefully this helps!