The horizontal distance between points A and B is:
[tex]x_B-x_A=2-(-5)=7[/tex]
1/5 of this distance is:
[tex]\frac{1}{5}\cdot7=\frac{7}{5}[/tex]
Then, the x-coordinate of point X is:
[tex]x_X=x_A+\frac{7}{5}=-5+\frac{7}{5}=-3.6[/tex]
The vertical distance between points A and B is:
[tex]y_B-y_A=9-(-5)=14[/tex]
1/5 of this distance is:
[tex]\frac{1}{5}\cdot14=\frac{14}{5}[/tex]
Then, the y-coordinate of point X is:
[tex]y_X=y_A+\frac{14}{5}=-5+\frac{14}{5}=-2.2[/tex]
Finally, the coordinates of X are (-3.6, -2.2)
