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

User Boris Pavlovski
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2.6k points

1 Answer

13 votes
13 votes
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!!!
User IvyMike
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2.9k points
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