Question

Find the slope of the line that passes through (2, 4) and (9, 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 \((2, 4)\) and \((9, 6)\), we can use the formula for the slope \(m\):

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

Here, we can identify the coordinates:
- \((x_1, y_1) = (2, 4)\)
- \((x_2, y_2) = (9, 6)\)

Now, substituting the values into the slope formula:

\[
m = \frac{6 - 4}{9 - 2} = \frac{2}{7}
\]

Thus, the slope of the line that passes through the points \((2, 4)\) and \((9, 6)\) is

\[
\boxed{\frac{2}{7}}
\]