Question

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).

Answer 1

Answer:

The coordinates of M are (2,-8)

Step-by-step 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:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

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

Then

$(\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})$

$(\frac{8}{4},\frac{-32}{4})$

The coordinates of M are (2,-8)