The problem is to find the slope of the line passing through points $P(-10, 7)$ and $Q(2, 1)$. The given calculation for the slope $m$ is $m = \frac{1 - 7}{2 - (-10)}$.

1. Problem Description

The problem is to find the slope of the line passing through points $P(-10, 7)$ and $Q(2, 1)$. The given calculation for the slope $m$ is $m = \frac{1 - 7}{2 - (-10)}$.

2. Solution Steps

The formula for the slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

In this case, we have $P(-10, 7)$ as $(x_1, y_1)$ and $Q(2, 1)$ as $(x_2, y_2)$.

Therefore, $x_1 = -10$, $y_1 = 7$, $x_2 = 2$, and $y_2 = 1$.

Plugging these values into the slope formula, we get:

$m = \frac{1 - 7}{2 - (-10)}$

$m = \frac{-6}{2 + 10}$

$m = \frac{-6}{12}$

$m = -\frac{1}{2}$

3. Final Answer

The slope of the line passing through points P and Q is $-\frac{1}{2}$.