Answer
$m = -1$
Work Step by Step
We are given the two points $(6, -2)$ and $(1, 3)$.
Let's use the formula to find the slope $m$ given two points:
$m = \frac{y_2 - y_1}{x_2 - x_1}$,
where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
Let's plug in the values into this formula:
$m = \frac{3 - (-2)}{1 - 6}$
Subtract the numerator and denominator to simplify:
$m = \frac{5}{-5}$
Divide both the numerator and denominator by their greatest common denominator, $5$:
$m = -1$
