Question

What is the slope of the line passing through the points (6, 5) and (3, 1)? Show simple work

Answer 1

To find the slope \( m \) of the line that passes through the points \((6, 5)\) and \((3, 1)\), we can use the slope formula:

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

Here, we identify the coordinates of the two points:
- \((x_1, y_1) = (6, 5)\)
- \((x_2, y_2) = (3, 1)\)

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

\[
m = \frac{1 - 5}{3 - 6}
\]

Calculating the differences:

\[
m = \frac{-4}{-3}
\]

Now, simplifying the fraction:

\[
m = \frac{4}{3}
\]

Thus, the slope of the line passing through the points \( (6, 5) \) and \( (3, 1) \) is

\[
\boxed{\frac{4}{3}}
\]