SOLUTION: In Triangle DEF defined by D(-7,-6), E(4,8), and F(12,4). Determine the equation of the median from D.

Algebra ->  Triangles -> SOLUTION: In Triangle DEF defined by D(-7,-6), E(4,8), and F(12,4). Determine the equation of the median from D.      Log On


   

Question 1085215: In Triangle DEF defined by D(-7,-6), E(4,8), and F(12,4). Determine the equation of the median from D.
Answer by stanbon(75887) About Me  (Show Source):
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In Triangle DEF defined by D(-7,-6), E(4,8), and F(12,4). Determine the equation of the median from D.
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Midpoint of EF:: x = (4+12)/2 = 8 ; y = (8+4)/2 = 6
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Equation of line from D to midpoint of EF::
slope = (6--6)/(8--7) = 12/15 = 4/5
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Form: y = mx + b
6 = (4/5)8 + b
6 = = 32/5 + b
b = (30-32)/5
b = -2/5
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Ans: y = (4/5)x - (2/5)
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Cheers,
Stan H.
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