Let P divides the join of A and B in the ratio k : 1, then
Step 1: Find coordinates of P:
6 = (k × 8 + 1×3)/ (k+1)
=> 6k + 6 = 8k + 3
or k = 3/2
P divides the join of A and B in the ratio 3:2
Step 2: Find the value of m
m = (2k-4)/(k+1) = (2×3/2 – 4)/(3/2+1)
= -1/(5/2)
= -2/5