Question

Determine the ration in which the point(-6,a) divides the join of A(-3.-1) and B(-8,9).Also find the value of a

Answer 1

let the ratio be k : 1

-6 = -8k - 3/ k + 1

-6k - 6 = -8k -3

8k - 6k = 6 - 3

k = 3/2

thus, the ratio is 3:2

a = 27 - 2/ 5

a = 25/5

a = 5

thus, the value of a is 5