Question

What is the slope of the line that contains the points (-2, 5) and (6, -3)?

Answer 1

To find the slope of the line that passes through the points \((-2, 5)\) and \((6, -3)\), we can use the slope formula:

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

Here, \((x_1, y_1) = (-2, 5)\) and \((x_2, y_2) = (6, -3)\). Now we can plug in the values:

\[
m = \frac{-3 - 5}{6 - (-2)}
\]

Calculating the numerator:

\[
-3 - 5 = -8
\]

Calculating the denominator:

\[
6 - (-2) = 6 + 2 = 8
\]

Now, substituting these values into the slope formula gives:

\[
m = \frac{-8}{8} = -1
\]

Thus, the slope of the line is:

\[
\boxed{-1}
\]