Question

given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N

Answer 1

The coordinates of N are (-3,-8)

Explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

(x,y) = (-48 + 27)/7, (-20 -36)/7

(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)