To find the slope of the line that contains the points \((-2, 5)\) and \( (6, -3)\), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
Let’s assign the points:
- \((x_1, y_1) = (-2, 5)\)
- \((x_2, y_2) = (6, -3)\)
Now, plug the values into the formula:
\[ m = \frac{-3 - 5}{6 - (-2)} \]
This simplifies to:
\[ m = \frac{-3 - 5}{6 + 2} = \frac{-8}{8} = -1 \]
So, the slope of the line that contains the points (-2, 5) and (6, -3) is \(-1\).
The correct answer is:
D. -1