Find the point, M, that divides segment AB into a ratio of 3.1 if A is at (-4,-2) and B is at (4. -10).

Question

asked Jun 24, 2020 43.2k views

1 Answer

Mira Weller · Answer 1 · 2020-06-29T12:30:22+0000

Answer:

The coordinates of M are (2,-8)

Explanation:

The coordinates of the point that divides the line segment joining

A(x_1,y_1) to
B(x_2,y_2) in the ratio m:n is given by:

((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))

If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.

Then

((3(4)+1(-4))/(3+1),(3(-10)+1(-2))/(3+1))

((8)/(4),(-32)/(4))

The coordinates of M are (2,-8)