Question

Coordinate of point x on the coordinate plane for each situation

Answer 1

The horizontal distance between points A and B is:

$x_B-x_A=2-(-5)=7$

1/5 of this distance is:

$\frac{1}{5}\cdot7=\frac{7}{5}$

Then, the x-coordinate of point X is:

$x_X=x_A+\frac{7}{5}=-5+\frac{7}{5}=-3.6$

The vertical distance between points A and B is:

$y_B-y_A=9-(-5)=14$

1/5 of this distance is:

$\frac{1}{5}\cdot14=\frac{14}{5}$

Then, the y-coordinate of point X is:

$y_X=y_A+\frac{14}{5}=-5+\frac{14}{5}=-2.2$

Finally, the coordinates of X are (-3.6, -2.2)