Question

(2) Find k if points A(1, 2), B(½,3) and C(0, k) are collinear.​

Answer 1

Answer:

k=4

Step-by-step explanation:

A(1,2) B(1/2,3) C(0,k)

points are coliinear means

slope of AB=slope of BC

3-2/1/2-1=k-3/0-1/2

1/-1/2=k-3/-1/2

1=k-3

k=4

Answer 2

Answer:

4

Step-by-step explanation:

They must have slope, if they are collinear.

 ⇒ Slope = (y₂ - y₁)/(x₂ - x₁)

For co-linearity:

⇒ Slope of AB = slope of AC

⇒ (3 - 2)/(1/2 - 1) = (k - 2)/(o - 1)

⇒ - 2 = (k - 2)/(-1)

⇒ (-2)(-1) = k - 2

⇒ 2 = k - 2

⇒ 4 = k