Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?

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Step-by-step explanation:

If a line passing through two points, then

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN

The endpoints of segment AB have coordinates and  .

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Slope of AB

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

Therefore, the value of k is .