Consider two parallel line segments.
Part A: Find the slope of with endpoints C(−7, −2) and D(−4, 2). Show your work.
Part B: What is the value of y so that with endpoints A(4, y) and B(7, 4) is parallel to Show your work.
Slope = [ subtract the y coordinates in any order ]
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[ subtract the x coordinates in the same order]
[ 2 (-2) ] 4
_______ = _______
[- 4 - (-7)] 3
To find the y value that makes the second segment parallel to the first, we have
[ 4 - y ] 4
______ = ___ cross multiply
[ 7 - 4 ] 3
3[ 4 - y ] = 4 [ 7 - 4 ]
12 - 3y = 12 subtract 12 from both sides
-3y = 0 divide both sides by -3
y = 0