SOLUTION: find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x intercept

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x intercept      Log On


   

Question 176903: find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x intercept
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Change the first equation to slope intercept form,
3y=4x-12
y=%284%2F3%29x-4
The x-intercept of this line is,
%284%2F3%29x-4=0
%284%2F3%29x=4
x=3
Perpendicular lines have slopes that are negative reciprocals of each other,
m%5B1%5Dm%5B2%5D=-1
%284%2F3%29m%5B2%5D=-1
m%5B2%5D=-3%2F4
.
.
.
Use the point-slope form with slope (-3/4) and point (3,0) to generate the second line,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-0=-%283%2F4%29%28x-3%29
y=-%283%2F4%29x%2B9%2F4
4y=-3x%2B9
3x%2B4y=9 in general form
.
.
.
Graph the lines to check the solution,
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%284%2F3%29x-4%2C+-%283%2F4%29x%2B9%2F4%29