Asked by zee

A(1,4), B(-3,8) and C(5,6) as vertices of triangle ABC a-find the slope of the line through A parallel to BC
b-Find the slope of the altitude from c to ab
Answered by Reiny
slope of BC = (6-8)/(5+3) = -2/8 = -1/4

so y-4 = (-1/4)(x-1)
y - 4 = (-1/4)x + 1/4

y = (-1/4)x + 17/4

or

4y - 16 = -x + 1
x + 4y = 17
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