To find the slope \( m \) of the line passing through two points, you can use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where:
\( (x_1, y_1) \) is the first point.
\( (x_2, y_2) \) is the second point.
Given the points are:
\( (x_1, y_1) = (-2, -7) \)
\( (x_2, y_2) = (3, 5) \)
Plug in the values:
\[ m = \frac{5 - (-7)}{3 - (-2)} \]
\[ m = \frac{12}{5} \]
\[ m = 2.4 \]
So, the slope of the line passing through the points (-2,-7) and (3,5) is 2.4.