Question

What is the slope of the line that passes through the points (5, -11) and (-9, 17)? (7 Points)
-2
-1/2
2
7

Answer 1

To find the slope of the line that passes through the points \((5, -11)\) and \((-9, 17)\), we use the slope formula:

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

Using the points \((x_1, y_1) = (5, -11)\) and \((x_2, y_2) = (-9, 17)\), we can substitute into the formula:

\[
m = \frac{17 - (-11)}{-9 - 5}
\]
\[
m = \frac{17 + 11}{-9 - 5}
\]
\[
m = \frac{28}{-14}
\]
\[
m = -2
\]

Thus, the slope of the line that passes through the points \((5, -11)\) and \((-9, 17)\) is \(-2\).

The answer is \(-2\).