To find the slope of the line that passes through the points (2, 1) and (0, 0), we can use the formula for the slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's assign the points as follows:
- Point 1: \((x_1, y_1) = (2, 1)\)
- Point 2: \((x_2, y_2) = (0, 0)\)
Now, plug the coordinates into the slope formula:
\[ m = \frac{0 - 1}{0 - 2} \]
Calculating the numerator and denominator:
\[ m = \frac{-1}{-2} \]
This simplifies to:
\[ m = \frac{1}{2} \]
So the slope of the line that passes through the points (2, 1) and (0, 0) is \(\frac{1}{2}\).