Answer:
x = -2
Step-by-step explanation:
The image and whole question is attached.
The end point are:
J(-6, -2)
K(8, -9)
We need to divide the segment in ratio 2:5
The formula is:
[tex]x=(\frac{m}{m+n})(x_2-x_1)+x_1[/tex]
m and n are the ratio, hence
m = 2
n = 5
x_2 = 8
x_1 = -6
Substituting, we get the x-coordinate:
[tex]x=(\frac{m}{m+n})(x_2-x_1)+x_1\\x=\frac{2}{2+5}(8-(-6))+(-6)\\x=\frac{2}{7}(14)-6\\x=4-6\\x=-2[/tex]
