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Question 698638: Find the equation of a line perpendicular to 4x-3y+12=0 that has the same x intercept as 3y+18=9x
thanks, Karim
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of a line perpendicular to 4x-3y+12=0 that has the same x intercept as 3y+18=9x.
Equation of a line: y=mx+b, m=slope, b=y-intercept
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4x-3y+12=0
3y=4x+12
y=4x/3+4
slope=4/3
slope of line perpendicular to this equation=-3/4 (negative reciprocal)
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3y+18=9x
x-intercept
set y=0, then solve for x
9x=18
x=2
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Equation: y=-3x/4+3/2 (ans.)
Check:
x-intercept
set y=0
0=-3x/4+3/2
3x=6
x=2
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