Question

Find the slope of the line that passes through (3, 1) and (8, 9). 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 \((3, 1)\) and \((8, 9)\), we use the formula for the slope \(m\) given by:

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

Here, \( (x_1, y_1) = (3, 1) \) and \( (x_2, y_2) = (8, 9) \). Plugging in these values:

\[
m = \frac{9 - 1}{8 - 3}
\]

Calculating the differences in the numerator and the denominator:

\[
m = \frac{8}{5}
\]

Thus, the slope of the line that passes through the points \((3, 1)\) and \((8, 9)\) is

\[
\boxed{\frac{8}{5}}
\]