Question

ind the slope of the line that passes through (3, 2) and (5, 7).

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 \((3, 2)\) and \((5, 7)\), we use the formula for the slope \(m\), which is given by:

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

Here, \((x_1, y_1) = (3, 2)\) and \((x_2, y_2) = (5, 7)\).

Now, substituting the values into the formula:

\[
m = \frac{7 - 2}{5 - 3} = \frac{5}{2}
\]

Thus, the slope of the line that passes through the points \((3, 2)\) and \((5, 7)\) is

\[
\boxed{\frac{5}{2}}.
\]