Question

find the ratio in which p (4,m) divide the line segment joining the point A(2,3) and B(6,-3) hence find m

Answer 1

let,ratio is k : 1, then
By using section formula,
k =1 and m = 0
and ratio is 1:1
hope it helps

Answer 2

Answer:

m=1

Step-by-step explanation:

Section formula if a point P(x,y) divides the line segment joining

A(x1,y1)B(x2 ,y2 ) in ratio of m:n

Then,

(x,y)=(  mx1 +nx2 /m+n , my1 +ny2/m+n  )

Let P divides AB in ratio of k:1

4=  6k+2/k+1

​4k+4=6k+2

k=1

Again using section formula;

m=  −3.1+3.1/1+1

​m=0