Question

Find the slope of the line that passes through (2, 7) and (6, 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 \((2, 7)\) and \((6, 6)\), we can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Here, we assign:
- \(x_1 = 2\), \(y_1 = 7\)
- \(x_2 = 6\), \(y_2 = 6\)

Now, substitute the values into the slope formula:

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

Calculating the differences:

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

Therefore, the slope of the line is

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