Line Through Points (6,19) and (12,20): Coordinate Geometry Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the coordinates of the given points.
• Step 2: Apply the slope formula.
• Step 3: Perform the subtraction and division required by the formula.

Now, let's work through each step:
Step 1: We have the points $(x_1, y_1) = (6, 19)$ and $(x_2, y_2) = (12, 20)$.
Step 2: The formula for the slope $m$ is $m = \frac{y_2 - y_1}{x_2 - x_1}$.
Step 3: Substituting the values, we get $m = \frac{20 - 19}{12 - 6} = \frac{1}{6}$.

Therefore, the slope of the line that passes through the points is $m = \frac{1}{6}$.