SOLUTION: PLEASE EXPLAIN WRITE AN EQUATION FOR THE LINE THROUGH THE POINT(1,1) AND PERPENDICULAR TO THE LINE 2X+Y=9 THANK YOU

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Question 355701: PLEASE EXPLAIN
WRITE AN EQUATION FOR THE LINE THROUGH THE POINT(1,1) AND PERPENDICULAR TO THE LINE 2X+Y=9
THANK YOU
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the line to slope-intercept form, y=mx%2Bb.
2x%2By=9
y=-2x%2B9
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
-2%2Am%5B2%5D=-1
m%5B2%5D=1%2F2
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y=%281%2F2%29x%2Bb
Use the point to determine b
1=%281%2F2%29%281%29%2Bb
b=1%2F2
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highlight%28y=%28x%2B1%29%2F2%29
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