SOLUTION: Find the equation of a line that passes through (8, 17) perpendicular to the line x+2y=2

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Question 5350: Find the equation of a line that passes through (8, 17) perpendicular to the line x+2y=2
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular lines have slopes that when multiplied together = -1
so convert this line to y=mx+b formula
x+2y=2
2y=-2x+2
The slope is -2
So I know that the perpendicular line will have a slope of 1%2F2, because %281%2F2%29%2A-2=-1
So using y=mx+b and the point I have (8,17), I substitute my point into the equation:
y=mx%2Bb
17=%281%2F2%29%288%29%2Bb
17=4%2Bb
13=b
Now I can use my slope and my intercept to put into a formula:
y=%281%2F2%29x%2B13