Question

Which is the slope of a line that is perpendicular to the line that passes through the
points (-9, -4) and (3, 4)?

Answer 1

Answer:

3/2

Step-by-step explanation:

First find the equation of the line passing through the two given points (-9, -4) and (3, 4).  The change in x (the 'run') is 3 - (-9), or +12.  The change in y (the 'rise') is 4 - (-4), or 8.  Thus, the slope of this line is

m = rise/run = 8/12, or m = 2/3.

A line perpendicular to this one has a slope that is the negative reciprocal of the slope we just found:

m = -1 / (2/3) = -3/2