Question

Find the value of k if the points(- 2,5 )(- 5,-10) and( K, - 5 )are collinear

Answer 1

Answer:

K = -4

Step-by-step explanation:

A(-2,5) B(-5,-10) C(K,-5)

the three given points are collinear

so, Area of triangle ABC = 0

1/2[Ax(By-Cy) + Bx(Cy-Ay) + Cx(Ay-By)] = 0

1/2 [ -2(-10+5) + (-5)(-5-5) + K(5+10) = 0

-2(-5) -5(-10) +K(15) = 0

10 + 50 + 15K = 0

15K = -60

K = -4

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