find the distance between point i and point j.

Explanation:

Step1: Identify coordinates

Point I has coordinates (-2, 2), point J has coordinates (5, 2).

Step2: Apply distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $y_1 = y_2=2$, so $d=\sqrt{(5-(-2))^2+(2 - 2)^2}=\sqrt{(5 + 2)^2+0^2}=\sqrt{7^2}=7$.

Answer:

7