Given triangle QRS with Q(3, 7), R(-4,5), and S(2,-5), write an equation of median RA.
1 answer:
Answer:
8x +13y = 33
Step-by-step explanation:
The median RA will be the line through point R and point A, which is the midpoint of QS.
A = (Q +P)/2
A = ((3, 7) +(2, -5))/2 = (3+2, 7-5)/2 = (2.5, 1)
The slope of line RA is given by the slope formula ...
m = (y2 -y1)/(x2 -x1) = (1 -5)/(2.5 -(-4)) = -4/6.5 = -8/13
The y-intercept of line RA is given by ...
b = y1 -m(x1)
b = 5 -(-8/13)(-4) = 5 -32/13 = 33/13
Then the slope-intercept equation of line RA is ...
y = -8/13x +33/13
The standard form equation can be written as ...
13y = -8x +33
8x +13y = 33 . . . . . standard form equation of median RA
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