SOLUTION: Find the slope-intercept form of a line passing through the point (5, 9) and parallel to the line “9x + 8y = –3

Algebra ->  Linear-equations -> SOLUTION: Find the slope-intercept form of a line passing through the point (5, 9) and parallel to the line “9x + 8y = –3      Log On


   

Question 888033: Find the slope-intercept form of a line passing through the point (5, 9) and parallel to the line “9x + 8y = –3
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same form.
9x%2B8y=D
Use the point to solve for D.
9%285%29%2B8%289%29=D
45%2B72=D
D=117
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9x%2B8y=117
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope-intercept form of a line passing through the point (5, 9) and parallel to the line “9x + 8y = –3
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Slope of the given line = ?
8y = -9x-3
y = (-9/8)x - (3/8)
slope = -9/8
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Your Problem:
Form: y = mx + b where m = -9/8 and y = 9 when x = 5.
Solve for "b":
9 = (-9/8)5 + b
72/8 = -45/8 + b
b = 52/8 = 13/2
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Ans: y = (-9/8)x + (13/2)
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Cheers,
Stan H.
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