Question

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

Answer 1

Answer:

Given points A(−2,3),B(1,2) and C(k,0)

points are collinear means

slope of AB= slope of BC

1−(−2)

2−3

=

k+1

0−2

⇒−1/3=−2/k+1

⇒−1(k+1)=−6

⇒−k+1=−6

⇒−k=−6−1

⇒+k=+7

∴k=7.