SOLUTION: write an equation of the line containing the given point and parallel to the given line.Express your answer in the form y=mx+b. (3,7);x+2y=5

Algebra ->  Functions -> SOLUTION: write an equation of the line containing the given point and parallel to the given line.Express your answer in the form y=mx+b. (3,7);x+2y=5      Log On


   

Question 211859: write an equation of the line containing the given point and parallel to the given line.Express your answer in the form y=mx+b. (3,7);x+2y=5
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
x +2y = 5
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2y = -x +5
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y = (-1/2)x +(5/2),,,,,,,original line,,,m=-1/2, b=5/2,,
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new parallel line has same slope
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y=mx+b,,,,y= (-1/2)x +b
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subst (3,7),,,,,7= (-1/2)(3) +b,,,,b=8.5
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or new eqn is y=(-1/2)x +8.5
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check,,,(3,7),,,7 = -1/2*3 +8.5 = 7 ,,,,,ok