Question

Find the slope of the line that passes through (6, 9) and (10, 8). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (6, 9)\) and \((x_2, y_2) = (10, 8)\), we use the slope formula:

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

Substituting the values:

\[
m = \frac{8 - 9}{10 - 6}
\]

Calculating the differences:

\[
m = \frac{-1}{4}
\]

So the slope of the line is:

\[
\boxed{-\frac{1}{4}}
\]