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. (7,9); x+7y=2 The equation of the line is?

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Question 864881: 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.
(7,9); x+7y=2
The equation of the line is?
(Show the equation. Show answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify the answer.)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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.
(7,9); x+7y=2
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Given-line DATA::
Form y = -x/7 + 2/7
Slope = -1/7
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Desired-line::
Form: y = mx + b
Solve for "m" and "b"
m = -1/7
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Solve for "b":
9 = (-1/7)7 + b
b = 10
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Equation:
y = (-1/7)x + 10
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Cheers,
Stan H.
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