SOLUTION: What is the formula or method of coming up with a line that is perpendicular to and equation and passes through a specific point... ex: equation of a line that is perpendicular

Algebra ->  Graphs -> SOLUTION: What is the formula or method of coming up with a line that is perpendicular to and equation and passes through a specific point... ex: equation of a line that is perpendicular       Log On


   

Question 379392: What is the formula or method of coming up with a line that is perpendicular to and equation and passes through a specific point...
ex: equation of a line that is perpendicular to 3x-4y=10 and passes through (-1,2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the line.
3x-4y=10
4y=3x-10
y=%283%2F4%29x-5%2F2
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Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
%283%2F4%29%2Am%5B2%5D=-1
m%5B2%5D=-4%2F3
Use the slope intercept form of a line,
y=-%284%2F3%29x%2Bb
Use the point (-1,2) to solve for b,
2=4%2F3%2Bb
b=6%2F3-4%2F3
b=2%2F3
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highlight%28y=-%284%2F3%29x%2B2%2F3%29
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