SOLUTION: Find the slope of any line perpendicular to the line though points (0,5) and (-3,-4) Thank you

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Question 106047: Find the slope of any line perpendicular to the line though points (0,5) and (-3,-4) Thank you
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
To find a line perpendicular to the line going throught the 2 points,
we need to find its slope first.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
for the two points (0,5) and (-3,-4),
m=%28-4-5%29%2F%28-3-0%29
m=%28-9%29%2F%28-3%29
m=3
The line going through (0,5) and (-3,-4) has a slope of 3.
Perpendicular lines have a relationship between their slopes as follows,
m%5B1%5D%2Am%5B2%5D=-1
In this case,
3%2Am%5B2%5D=-1
m%5B2%5D=-%281%2F3%29
Therefore your perpendicular line equation is,
y=mx%2Bb
y=-%281%2F3%29x
where b=0 for simplicity.
drawing%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2Cgrid%28+1+%29%2Ccircle%28+0%2C+5%2C+.2+%29%2C%0D%0Acircle%28-3%2C-4%2C.2%29%2Cgreen%28line%28+0%2C5%2C-3%2C-4%29%29%2Cblue%28line%28-10%2C3.33%2C10%2C-3.33%29%29%29