Question 471473: what is the slope of a line that is perpendicular to the graph of: y=-1/2x+4? Found 2 solutions by nerdybill, bucky:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! since the slope of:
y=-1/2x+4
is -1/2
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a line perpendicular to this must have a slope that is the "negative reciprocal":
(-1/2)m = -1
(1/2)m = 1
m = 2
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answer is 2
You can put this solution on YOUR website! This problem can be done in your head if you know the method.
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If you know the slope of a given line, the line perpendicular to it will have a slope that is the negative inverse.
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In this problem the known slope is negative 1/2. So the line that is perpendicular to it will have a slope that is positive and has a slope of the inverse of 1/2 which is 2/1 or just 2.
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So the answer to this problem is a slope of +2.
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Hope this helps you to understand how to find the slope of lines perpendicular to a line of known slope. Just find the negative inverse.
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