1. The problem asks to find the distance between two points on a coordinate plane. 2. The formula to find the distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ This formula comes from the Pythagorean theorem, where the distance is the hypotenuse of a right triangle formed by the horizontal and vertical differences between the points. 3. Important rules: - Subtract the coordinates carefully. - Square the differences. - Add the squares. - Take the square root of the sum. 4. For example, for points $(8, 3)$ and $(8, -4)$: $$d = \sqrt{(8 - 8)^2 + (-4 - 3)^2} = \sqrt{0^2 + (-7)^2} = \sqrt{49} = 7$$ 5. This means the distance between these points is 7 units. 6. You are trying to find the distance between two points on the coordinate plane using the distance formula above.