SOLUTION: Find the equation of the line if it is perpendicular to the line 3x - 4y = 12 and has the same x-intercept as 4x

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Question 72505: Find the equation of the line if it is perpendicular to the line 3x - 4y = 12 and has the same x-intercept as 4x - 13 = 3y.
Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website!
3X-4Y=12
-4Y=-3X+12
Y=-3X/-4+12/-4
Y=3X/4-3 THUS THE SLOPE OF THIS LINE IS 3/4.
THUS A PERPENDICULAR LINE HAS A SLOPE THAT IS A NEGATIVE RECIPRICAL OF 3/4 WHICH IS -4/3
NOW FIND THE X INTERCEPT FOR
4X-13=3Y
3Y=4X-13
Y=4X/3-13/3 TO FIND THE X INTERCEPT OF THIS LINE WE SET Y=0 THUS:
0=4X/3-13/3
4X/3=13/3
X=13/3*3/4
X=13/4 NOW WE NEED TO FIND THE Y INTERCEPT (b)
0=-4/3*13/4+b
0=-13/3+b
b=13/3 THUS THE EQUATION IS
Y=-4X/3+13/3
(graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = 3x/4 -3 and y = -4x/3 -13/3).

SOLUTION: Find the equation of the line if it is perpendicular to the line 3x - 4y = 12 and has the same x-intercept as 4x - 13 = 3y.