SOLUTION: Find k in the line containing (2,k) that is perpendicular to the line y=2x-3 that goes throught point (4,5)

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Question 669706: Find k in the line containing (2,k) that is perpendicular to the line y=2x-3 that goes throught point (4,5)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the line y = 2x-3
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the slope is 2
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the slope of the perpendicular line is -1%2F2
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Using the coordinate (4, 5) and the determined slope, the linear equation is:
5+=+%28-1%2F2%294+%2B+b
b = 5 + 2 = 7
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y = -1%2F2x + 7
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Given the coordinates (2, k)
k+=+%28-1%2F2%29%282%29+%2B+7+=+-1+%2B+7+=+highlight_green%286%29
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