SOLUTION: FIND THE SLOPE OF ANY LINE PERPENDICULAR TO THE LINE THROUGHT POINTS (0,5) AND (-3, -4)

Algebra ->  Linear-equations -> SOLUTION: FIND THE SLOPE OF ANY LINE PERPENDICULAR TO THE LINE THROUGHT POINTS (0,5) AND (-3, -4)      Log On


   

Question 118788: FIND THE SLOPE OF ANY LINE PERPENDICULAR TO THE LINE THROUGHT POINTS (0,5) AND (-3, -4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope through (0,5) and (-3, -4)


Solved by pluggable solver: Finding the slope


Slope of the line through the points (0, 5) and (-3, -4)



Answer: Slope is m+=+3





If you're given a slope of m=3, you can find the perpendicular slope by negating and inverting the given slope.

In other words, use this formula to find the perpendicular slope:
m%5Bp%5D=-1%2Fm where m is the given slope and m%5Bp%5D is the perpendicular slope

m%5Bp%5D=-1%2F%283%2F1%29 plug in m=3%2F1 (note: remember 3 really looks like 3%2F1)

m%5Bp%5D=%28-1%2F1%29%281%2F3%29 Flip the second fraction and multiply

m%5Bp%5D=-1%2F3 Multiply

So the perpendicular slope is -1%2F3