Find the slope of the line through (2, 3) and (6, 11)

Problem: Find the slope of the line passing through the points $(2, 3)$ and $(6, 11)$.

Steps

1. Recall the slope formula
   $$m = \frac{y_2 - y_1}{x_2 - x_1}$$
2. Substitute the given coordinates into the formula
   $$m = \frac{11 - 3}{6 - 2}$$
3. Simplify the numerator and the denominator
   $$m = \frac{8}{4}$$
4. Divide
   $$m = 2$$