Q35 of 149 Page 14

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.

Here, given points are A (-4, 3) and B ( 2, 8) and let the point dividing the line joining two points be P(m,6).


Let the ratio be m:n



By section formula,


x = , y =


For point P(m,6),


m = …(1)


And 6 = …(2)


Solving 2 for finding ratio between m and n,


6 =


6(m + n) = 8m +3n


6m + 6n = 8m +3n


∴ 2m = 3n


∴ =


∴ m : n = 3 : 2


Now solving for equation 1, where m = 3 and n =2


m =


∴ m =


∴ m =


Hence, our point is (, 6)


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