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:
\[
\boxed{-1}
\]
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
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:
\[
\boxed{-1}
\]