What is the slope of the line shown below?

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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 \(\boxed{-2}\).