Answer:
(6.2, 4.5)
Step-by-step explanation:
This can be solved using section formula, shown below:
[tex]x=\frac{mx_2+nx_1}{m+n}[/tex]
and
[tex]y=\frac{my_2+ny_1}{m+n}[/tex]
Where m and n are the ratio segmentation. Hence,
m = 1
n = 3
The points of x_1, x_2, y_1, and y_2 are given point respectively.
A(7.5, 4.2)
B(2.3, 5.4)
Thus, we have:
[tex]x=\frac{mx_2+nx_1}{m+n}\\x=\frac{(1)(2.3)+(3)(7.5)}{1+3}\\x=6.2[/tex]
and
[tex]y=\frac{my_2+ny_1}{m+n}\\y=\frac{(1)(5.4)+(3)(4.2)}{1+3}\\y=4.5[/tex]
The coordinates are (6.2, 4.5)
