What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!