SOLUTION: Indicate the equation of the given line in the standard form. The line containing the midpoints of the legs of right triangle ABC where A(-5,5), B(1,1), and C(3,4) are the vert

Algebra ->  Test -> SOLUTION: Indicate the equation of the given line in the standard form. The line containing the midpoints of the legs of right triangle ABC where A(-5,5), B(1,1), and C(3,4) are the vert      Log On


   

Question 316704: Indicate the equation of the given line in the standard form.
The line containing the midpoints of the legs of right triangle ABC where A(-5,5), B(1,1), and C(3,4) are the vertices
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

The legs are AC and BC.
Find the midpoint of AC.
xm=%28-5%2B3%29%2F2=-1
ym=%285%2B4%29%2F2=9%2F2
Find the midpoint of BC.
xm=%281%2B3%29%2F2=2
ym=%281%2B4%29%2F2=5%2F2

Find the slope of the line using the two points.
m=%28y2-y1%29%2F%28x2-x1%29
m=%285%2F2-9%2F2%29%2F%282-%28-1%29%29
m=-%284%2F2%29%2F3
m=-2%2F3
Now use the point-slope form of a line with the slope and either point.
y-yp=m%28x-xp%29
y-5%2F2=-%282%2F3%29%28x-2%29
y-5%2F2=-%282%2F3%29x%2B4%2F3
y=-%282%2F3%29x%2B8%2F6%2B15%2F6
y=+-%282%2F3%29x%2B23%2F6+
6y=-4x%2B23
highlight%284x%2B6y=23%29
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