SOLUTION: Find the line perpendicular to the line 4x-3y=6 that passes through the point (-3,0).

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Find the line perpendicular to the line 4x-3y=6 that passes through the point (-3,0).      Log On


   

Question 386468: Find the line perpendicular to the line 4x-3y=6 that passes through the point (-3,0).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Convert to slope intercept form,y=mx%2Bb
3y=4x-6
y=%284%2F3%29x-2
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
%284%2F3%29%2Am%5B2%5D=-1
m%5B2%5D=-%283%2F4%29
.
.
.
y=-%283%2F4%29x%2Bb
Use the point, (-3,0) to solve for b.
0=-%283%2F4%29%28-3%29%2Bb
b=-9%2F4
.
.
highlight%28y=-%283%2F4%29x-9%2F4%29
.
.
.