Question 8 of 10

What is the slope of the line that contains the points (-2, 5) and (6, -3)?
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A. 8
В. 1
C. -8
D. -1

1 answer

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