Question

What is the slope of the line shown below?

(Line: (-2, 5) to (3, -5))

Answer 1

To find the slope of the line that passes through the points \((-2, 5)\) and \((3, -5)\), we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \( (x_1, y_1) = (-2, 5) \)
- \( (x_2, y_2) = (3, -5) \)

Plugging in the values:

\[
m = \frac{-5 - 5}{3 - (-2)} = \frac{-10}{3 + 2} = \frac{-10}{5} = -2
\]

Therefore, the slope of the line is \(\boxed{-2}\).