Line Through Points (3,6) and (10,20): Coordinate Geometry Problem

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

• Step 1: Identify and assign coordinates
• Step 2: Apply the slope formula
• Step 3: Simplify the calculations

Let's proceed with each step:

Step 1: Assign coordinates from the given points:
$(x_1, y_1) = (3, 6)$ and $(x_2, y_2) = (10, 20)$.

Step 2: Apply the slope formula, which is:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 6}{10 - 3}$.

Step 3: Calculate the slope:

$m = \frac{14}{7} = 2$.

Therefore, the slope of the line passing through the points $(3, 6)$ and $(10, 20)$ is $m = 2$.

The correct choice from the given options is $m = 2$.