We are asked to find the distance between the points $(-7, 6)$ and $(2, -6)$.

1. Problem Description

We are asked to find the distance between the points $(-7, 6)$ and $(2, -6)$.

2. Solution Steps

The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, $(x_1, y_1) = (-7, 6)$ and $(x_2, y_2) = (2, -6)$.

Substituting the values into the distance formula:

$d = \sqrt{(2 - (-7))^2 + (-6 - 6)^2}$

$d = \sqrt{(2 + 7)^2 + (-12)^2}$

$d = \sqrt{(9)^2 + (-12)^2}$

$d = \sqrt{81 + 144}$

$d = \sqrt{225}$

$d = 15$

3. Final Answer

The distance between the points $(-7, 6)$ and $(2, -6)$ is 15 units.