Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1
/4 , k).
What value of k makes these segments perpendicular?
1 answer:
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5 (use the slope formula)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
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