Determine the ratio in which the point P (m,6) divides the join of A (4, 3) and B(2 8). Also, find the value of m

Explanation

`x_3=(nx_2+nx_1)/(m+n)`

`y_3=(my_2+ny_1)/(m+n)`

Let the ratio be k:1

A(-4,3),P(n,6),B(2,8)

`n=(k*2+1*4)/(k+1)`

`6=(k*8+1*3)/(k+1)`

`6(k+1)=8k+3`

`6k+6=8k+3`

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