Question

14.
Find the slope of the line that passes through the pair of points.

(–5.5, 6.1), (–2.5, 3.1)

Answer 1

To find the slope of the line that passes through the points \((-5.5, 6.1)\) and \((-2.5, 3.1)\), we can 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 the points:

- \((x_1, y_1) = (-5.5, 6.1)\)
- \((x_2, y_2) = (-2.5, 3.1)\)

Now substitute the values into the slope formula:

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

Calculate the numerator and the denominator:

Numerator:

\[
3.1 - 6.1 = -3.0
\]

Denominator:

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

Now substitute these values 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 \(\boxed{-1}\).