Question

Find the slope of the line that passes through (8, 5) and (10, 6).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \( (8, 5) \) and \( (10, 6) \), we use the formula for the slope (\( m \)):

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

Here, we can assign the points as follows:
- \( (x_1, y_1) = (8, 5) \)
- \( (x_2, y_2) = (10, 6) \)

Now, substituting the values into the slope formula:

\[
m = \frac{6 - 5}{10 - 8} = \frac{1}{2}
\]

Thus, the slope of the line is

\[
\boxed{\frac{1}{2}}
\]