Graphs
posted by Shay .
The vertices of a triangle are A(13,13), B(9,3), and C(1,1).
Determine the equation of the median AM, where M is the midpoint of BC.
Midpoint M of BC = ((91)/2,(3+1)/2)
=(4,2)
slope AM = (132)/(134) = 11/9
So the equation of the median is
11x  9y + c = 0, (knowing that the slope of Ax + By + C = 0 is A/B)
substitute one of the points, say (4,2)
11(4)  9(2) + C = 0
C=26
the equation of the median is 11x  9y  26 = 0
I use this method of finding the equation of a straight line if the slope is a fraction.
It gives the equation very quickly in the general form without any fractions.
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