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Question 504586: find the equation of the line passing through (-1, 2) and parallet to 2x-4y = 24
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! find the equation of the line passing through (-1, 2) and parallel to 2x-4y = 24
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Two lines are parallel if they have the same slope.
First, find slope of:
2x-4y = 24
-4y = -2x+24
4y = 2x-24
y = (1/2)x-6
slope is 1/2
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plug slope (1/2) and given point (-1, 2) into "point-slope" form:
y - y1 = m(x -x1)
y - 2 = (1/2)(x -(-1))
y - 2 = (1/2)(x + 1)
y - 2 = (1/2)x + 1/2
y = (1/2)x + 1/2 + 2
y = (1/2)x + 1/2 + 4/4
y = (1/2)x + 5/2 (this is what they're looking for)
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