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Question 402049: write an equation of the line containing the given point and perpendicular to the given line: (2,5); 2x+y=3
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! (2,5); 2x+y=3
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First, find slope of:
2x+y=3
y=-2x+3
slope is -2
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A line that is perpendicular must be the negative reciprocal:
-2m = -1
m = 1/2 (our new slope)
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Plug our new slope and the given point (2,5) into the "point-slope" form:
y - y1 = m(x - x1)
y - 5 = (1/2)(x - 2)
y - 5 = (1/2)x - 1
y = (1/2)x + 4 (this is what they're looking for)
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