Question

What is the slope of the line that contains the points (−5, −1) and (−9, 2)?

3
four thirds
negative three fourths
−7

Answer 1

To find the slope of the line that contains the points \((-5, -1)\) and \((-9, 2)\), we use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (-5, -1)\) and \((x_2, y_2) = (-9, 2)\). Plugging in the values:

\[
m = \frac{2 - (-1)}{-9 - (-5)}
\]

This simplifies to:

\[
m = \frac{2 + 1}{-9 + 5} = \frac{3}{-4} = -\frac{3}{4}
\]

Thus, the slope of the line is \(-\frac{3}{4}\).

Therefore, the correct answer is:

**negative three fourths**