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) (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.
.
y = -1/2x + b
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Then use the point you want to go through to find 'b'.
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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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