1. The problem asks to find the slope of the line passing through the points (1, 0) and (6, 10). 2. The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Substitute the given points into the formula: $$m = \frac{10 - 0}{6 - 1}$$ 4. Simplify the numerator and denominator: $$m = \frac{10}{5}$$ 5. Show the cancellation of common factors: $$m = \frac{\cancel{10}}{\cancel{5}} = 2$$ 6. Therefore, the slope of the line is $2$. This means for every 1 unit increase in $x$, $y$ increases by 2 units.