Question

Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

Answers

GPT-4o mini
To find the slope of the line that passes through the points \((-5.5, 6.1)\) and \((-2.5, 3.1)\), we use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Here, we can assign:
- \(x_1 = -5.5\)
- \(y_1 = 6.1\)
- \(x_2 = -2.5\)
- \(y_2 = 3.1\)

Now, we can substitute the values into the formula:

\[
m = \frac{3.1 - 6.1}{-2.5 - (-5.5)}
\]

Calculating the differences:

\[
3.1 - 6.1 = -3.0
\]
\[
-2.5 - (-5.5) = -2.5 + 5.5 = 3.0
\]

Now substituting these results back into the slope formula:

\[
m = \frac{-3.0}{3.0} = -1
\]

Thus, the slope of the line that passes through the points \((-5.5, 6.1)\) and \((-2.5, 3.1)\) is:

\[
\boxed{-1}
\]