Question

Is the below line from this equation parallel and why or why not
#38: x1 y1 x2 y2
line1 k passes through (4, 2) and (-4, 4)
x1 y1 x2 y2
line2 h passes through (-8, 1) and (8, -3)
Is line k < h?
mk = 4 – 2 = 2 = 1
-4 -4 -8 -4
mh = -3 – 1 = -4 = -1
8 – (-8) 16 4

Answer 1

To answer this question, let's find the slopes given by:
\[m = \frac{ (y2-y1) }{ (x2-x1) }\]
line k => mk = (4-2)/(-4-4) = 2/-8 = -1/4
line h => mh = (-3-1)/(8--8)=-4/16 = -1/4
m1=m2
Since these two lines have identical slopes, then these lines are parallel.

Answer 2

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Answer 3

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~Happy Studying!:)