Question

Find the slope of the line that passes through (7, 10) and (2, 1). 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 \((7, 10)\) and \((2, 1)\), we use the slope formula:

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

Here, we can assign:
- \((x_1, y_1) = (7, 10)\)
- \((x_2, y_2) = (2, 1)\)

Now substitute the values into the formula:

\[
m = \frac{1 - 10}{2 - 7}
\]

Calculating the differences:

\[
m = \frac{-9}{-5}
\]

This simplifies to:

\[
m = \frac{9}{5}
\]

Thus, the slope of the line is

\[
\boxed{\frac{9}{5}}
\]