SOLUTION: Find the equation of the line that passes through the point (5,4), and that is parallel to the line with the equation 1/4x-y=-9/4

Question 662386: Find the equation of the line that passes through the point (5,4), and that is parallel to the line with the equation 1/4x-y=-9/4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the equation of the line that passes through the point (5,4), and that is parallel to the line with the equation 1/4x-y=-9/4
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Find the slope of the given line:
y = (1/4)x + (9/4)
slope = 1/4
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All lines parallel to it must have slope = 1/4
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Linear Form: y = mx + b
You know y = 4 when x = 5 and m = 1/4
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solve for "b":
4 = (1/4)(5) + b
b = 16/4 - (5/4)
b = 11/4
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Equation:
y = (1/4)x + (11/4)
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Cheers,
Stan H.
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