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Consider two parallel line segments.

 

Part A: Find the slope of segment CD with endpoints C(−5, 4) and D(2, 1). Show your work.

 

 Part B: What is the value of y so that segment AB with endpoints A(−6, y) and B(1, −5) is parallel to segment CD question mark Show your work. 

 May 3, 2023
 #1
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Part A: slope of a segment with endpoints (a,b) and (c,d) is given as \(\frac{c-a}{d-b}\), so in this case the answer is \(\frac{2-(-5)}{1-4}=-\frac{7}{3}\).

So for Part B, we can set up an equation: \(\frac{7}{3}=\frac{1-(-6)}{-5-y}=\frac{7}{-5-y}\)

So \(-5-y=-3\) and this equation is simple to solve.

 May 4, 2023

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