Answer:
Explanation:
Segment MN
Segment AB
Parallel lines have the same slope.
Therefore, equate the found slopes for the two segments and solve for k:
Cross multiply:
Add 11 ¹/₄ to both sides:
Divide both sides by 5:
Therefore, the value of k for which the two segments are parallel is ³/₂.
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Parallel lines have equal slopes.
Find the slope of the first line, mn:
Find the slope of the second line, ab:
Compare the slopes and find the value of k:
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