SOLUTION: write an equation of the line containing the given point and perpendicular to the given line: (2,5); 2x+y=3

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
.
First, find slope of:
2x+y=3
y=-2x+3
slope is -2
.
A line that is perpendicular must be the negative reciprocal:
-2m = -1
m = 1/2 (our new slope)
.
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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