SOLUTION: write an expression of the line containing the given point and perpendicular to the given line. Express the answer as y=mx+b. Simplify your answer. (6,8);9x+y=2 y=-9x+2 y=1/9(

Algebra ->  Functions -> SOLUTION: write an expression of the line containing the given point and perpendicular to the given line. Express the answer as y=mx+b. Simplify your answer. (6,8);9x+y=2 y=-9x+2 y=1/9(      Log On


   



Question 166993: write an expression of the line containing the given point and perpendicular to the given line. Express the answer as y=mx+b. Simplify your answer.
(6,8);9x+y=2
y=-9x+2
y=1/9(x-x1)
y-y1= 1/9(x-x1)
y-8= 1/9(x-6)
This is where I get lost. I know that 1/9 is the slope, but when I multiply it by what is in the parenthesis and then subtract or add 8, I keep getting it wrong.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y-8=+%281%2F9%29%28x-6%29
9%28y-8%29=x-6 Multiply both sides by 9 first.
9y-72=x-6Distribute 9 on the left hand side.
9y=x-6%2B72 Add 72 to both sides.
9y=x%2B66 Simplify.
y=%28x%2B66%29%2F9 Divide by 9.
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Here's the two lines graphed and point (6,8) shown.