SOLUTION: Please help Find the equation of the line that passes through (3,-1) and is perpendicular to the line y-2x=10?

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Question 289207: Please help Find the equation of the line that passes through (3,-1) and is perpendicular to the line y-2x=10?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3,-1) and is perpendicular to the line
y-2x=10
y=2x+10 this line has a slope=2 (red line)
A perpendicular line would have a slope=-1/2.
Y=mX+b
-1=-1/2*3+b
-1=-3/2+b
b=-1+3/2
b=-2/2+3/2
b=1/2 the Y intercept.
y=-x/2+1/2 (green line).
Proof:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B10%2C+-x%2F2+%2B1%2F2%29+ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 2x +10 and -x/2 +1/2).