Question

Find the value of k if the co ordinates of the points A (2,-2) B(-4,2). C(-7,k are collinear

Answer 1

Step-by-step explanation:

A (2,-2) B(-4,2). C(-7,k ) are given points

slope of line AB= y2-y1. =2-(-2) =2+2 =4

x2-x1. (-4)-2. -4-2 =-6

=4/-6

slope of line BC=y2-y1. =k-2. =k-2

x2-x1. (-7)-(-4). -3

=k-2/-3

4/-6=k-2/-3 --------collinear

-12=-6k+12

6k=12+12

k=24/6

k=4