SOLUTION: Find the equation of the line through (2,a) and (9,b).

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Question 398240: Find the equation of the line through (2,a) and (9,b).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line through (2,a) and (9,b).
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slope = (b-a)/(9-2) = (b-a)/7
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Form y = mx+k
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Substitute and solve for "k":
a = [(b-a)/7]2 + k
a = (2/7)(b-a) + k
a = (2/7)b-(2/7)a + k
(9/7)a-(2/7)b = k
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k = (9a-2b)/7
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Equation:
y = [(b-a)/7]x + (9a-2b)/7
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Cheers,
Stan H.
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