SOLUTION: write the equation of the line perpendicular to y=3/4x+3/2 that passes through the point (-2,9)

Algebra ->  Linear-equations -> SOLUTION: write the equation of the line perpendicular to y=3/4x+3/2 that passes through the point (-2,9)       Log On


   

Question 869901: write the equation of the line perpendicular to y=3/4x+3/2 that passes through the point (-2,9)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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
.
.
.
y=-%284%2F3%29x%2Bb
Use the point to solve for b
9=-%284%2F3%29%28-2%29%2Bb
27%2F3=8%2F3%2Bb
b=19%2F3
highlight%28y=-%284%2F3%29x%2B19%2F3%29