SOLUTION: Find the equation in function notation y=mx+b perpendicular to -8x+3y=-5 Through (2,-2)

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Question 216184: Find the equation in function notation y=mx+b
perpendicular to -8x+3y=-5 Through (2,-2)

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
-8x+3y=-5 Through (2,-2)
3y=8x-5
y=8x/3-5/3 (red line) this line has a slope=8/3.
A perpendicular line has a slope=-3/8
-2=-3/8*2+b
-2=-6/8+b
b=-2+3/4
b=-8/4+3/4
b=-5/4 the y intercept.
y=-3x/8-5/4 (green line) ans.
+graph%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+8x%2F3+-5%2F3%2C+-3x%2F8+-5%2F4%29+ (graph 200x200 pixels, x from -5 to 5, y from -5 to 5, of TWO functions 8x/3 -5/3 and -3x/8 -5/4).