SOLUTION: 2. Find the slope of any line perpendicular to the line through points (0, 5) and (3 , 4).

Algebra ->  Linear-equations -> SOLUTION: 2. Find the slope of any line perpendicular to the line through points (0, 5) and (3 , 4).       Log On


   

Question 120641: 2. Find the slope of any line perpendicular to the line through points (0, 5) and
(3 , 4).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope through the points (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+=+-1%2F3




If you're given a slope of m=-1%2F3, 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%28-1%2F3%29 plug in m=-1%2F3

m%5Bp%5D=%28-1%2F1%29%283%2F-1%29 Flip the second fraction and multiply

m%5Bp%5D=-3%2F-1 Multiply

m%5Bp%5D=3 Reduce


Answer:

So the perpendicular slope is m=3