Question

Find the slope of the line that passes through (1, 1) and (10, 2).

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 (1, 1) and (10, 2), we can use the formula for the slope \( m \), which is given by:

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

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

Now, we can substitute the values into the slope formula:

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

Calculating the difference in the y-coordinates:

\[
2 - 1 = 1
\]

Calculating the difference in the x-coordinates:

\[
10 - 1 = 9
\]

Now substituting these values back into the slope formula:

\[
m = \frac{1}{9}
\]

Thus, the slope of the line that passes through the points (1, 1) and (10, 2) is:

\[
\boxed{\frac{1}{9}}
\]