SOLUTION: Write an equation in slope intercept form for the line that passes through (2,4) and is perpendicular to the line y=2x-3

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Question 519204: Write an equation in slope intercept form for the line that passes through (2,4) and is perpendicular to the line y=2x-3
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The line y = 2x-3 is in slope-intercept form.
2 = slope
-3 = y-intercept
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A line perpendicular to the line y = 2x-3 will have a slope of -1/2, which is the inverse reciprocal of 2.
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y = -1/2x + b
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Then use the point you want to go through to find 'b'.
.
4 = -1/2(2) + b
4 = -1 + b
b = 5
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y = -1/2x +5
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In the following graph, y= 2x-3 is red; y = -1/2x + 5 is green.
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+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C2%2Ax-3%2C-1%2F2%2Ax%2B5%29+