wbonser01
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19
Line A passes through the points (-3,-1) and (-1,9)
Line B passes through the points (-2, 1) and (k, 4)
Line A and Line B are perpendicular.
Find the value of k.

Respuesta :

Answer:

k = 17

Step-by-step explanation:

slope = (y-y') / (x-x')

slope A = (9 + 1) / (-1 + 3) = 10/2 = 5

slope B = (4 - 1) / (k + 2) = 3 / (k + 2)

perpendicular: slope B = - 1 / slope A

3 / (k + 2) = - 1/5

2 + k = - 5 x 3 = - 15

k = 17

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