Question

If the points a(2,3),b(5,k),c(6,7) are collinear then find the value of k

Answer 1

when the points are collinear,

their line segments have equal slopes....

slope of ab= k-3/5-2

slope of bc= 7-k/6-5

thus, slope ab = slope bc

=>k-3/3=7-k

k-3=21-3k

4k=24

k= 6

Answer 2

Answer:

so, the value of k will be 6