SOLUTION: Equation of the line perpendicular to 4x-6y=5 containing (4,2) -6y=-4x+5 y=-4/6x+-5/6 y=2/3x-5/6 m=2/3 y=-3/2x+b 2=-3/2(4)+b 2=-12/

Algebra ->  Linear-equations -> SOLUTION: Equation of the line perpendicular to 4x-6y=5 containing (4,2) -6y=-4x+5 y=-4/6x+-5/6 y=2/3x-5/6 m=2/3 y=-3/2x+b 2=-3/2(4)+b 2=-12/      Log On


   



Question 567977: Equation of the line perpendicular to 4x-6y=5 containing (4,2)
-6y=-4x+5
y=-4/6x+-5/6
y=2/3x-5/6
m=2/3

y=-3/2x+b
2=-3/2(4)+b
2=-12/2+b
2=-6+b
y=-3/2x+8


Find the coordinates of the point of intersection of the perpendicular lines in the problem above.
Would love to see this step by step how to solve this, as I have many more problems just like it.
Thank you so much!
Joy

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I agree with your solution so far, except that I would write
y=-4/(-6x)+-5/6 where I read y=-4/6x+-5/6
I guess it was somehow changed in entering it, but y=2/3x-5/6 anyway.
With 4x-6y=5 and y=-%283%2F2%29x%2B8, we can substitute and get
4x-6%28-%283%2F2%29x%2B8%29=5 --> 4x%2B9x-48=5 --> 13x-48=5 --> 13x=53 --> highlight%28x=53%2F13%29
y=-%283%2F2%29%2853%2F13%29%2B8 --> y=-159%2F26%2B8 --> y=-159%2F26%2B8 --> y=-159%2F26%2B208%2F26 --> highlight%28y=49%2F26%29