SOLUTION: Find an equation of the line containing the given point and parallel to the given line: (2,5) 3y-x=6

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Question 411711: Find an equation of the line containing the given point and parallel to the given line:
(2,5)
3y-x=6

Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
(2,5)
3y-x=6
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Solve for y
3y=x%2B6
y=%281%2F3%29x%2B2
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y=mx%2Bb (m is the slope, b is the y-intercept.)
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For a line to be parallel to the above line, the slopes need to be the same.
y=%281%2F3%29x%2Bb
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Now plug in your x and y from the point you were given. (2,5), x=2, y=5.
5=%281%2F3%292%2Bb
Solve for b
5-2%2F3=b
15%2F3-2%2F3=b
13%2F3=b
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Therefore, the answer is:
highlight%28y=%281%2F3%29x%2B13%2F3%29