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:

`(1)/(5)\cdot7=(7)/(5)`

Then, the x-coordinate of point X is:

`x_X=x_A+(7)/(5)=-5+(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:

`(1)/(5)\cdot14=(14)/(5)`

Then, the y-coordinate of point X is:

`y_X=y_A+(14)/(5)=-5+(14)/(5)=-2.2`

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