To calculate the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$, we use the distance formula:

$\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

For the points $(6, 3)$ and $(2, 4)$:

$\text{Distance} = \sqrt{(2 - 6)^2 + (4 - 3)^2}$

$\text{Distance} = \sqrt{(-4)^2 + (1)^2}$

$\text{Distance} = \sqrt{16 + 1}$

$\text{Distance} = \sqrt{17} \approx 4.12$

So, the distance between the two points is approximately 4.12 units.

Do you want more details or have any questions?
Here are some related questions to explore:

1. How is the distance formula derived from the Pythagorean theorem?
2. What are the coordinates of the midpoint between $(6, 3)$ and $(2, 4)$?
3. How would you find the slope of the line passing through these two points?
4. If the points were three-dimensional, how would the distance formula change?
5. How does the distance formula apply to finding the length of a line segment on a graph?

Tip: The distance formula is a direct application of the Pythagorean theorem in coordinate geometry.