Answer:
The coordinates of M are (2,-8)
Step-by-step explanation:
The coordinates of the point that divides the line segment joining
[tex]A(x_1,y_1)[/tex] to [tex]B(x_2,y_2)[/tex] in the ratio m:n is given by:
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.
Then
[tex](\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})[/tex]
[tex](\frac{8}{4},\frac{-32}{4})[/tex]
The coordinates of M are (2,-8)
