Calculate the distance between the two points (6,3) and (2,4)

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.

Learn how to calculate the distance between two points (6,3) and (2,4) using the distance formula. This problem involves coordinate geometry and applies the Pythagorean theorem to find the distance. Suitable for students in Grades 7-9.

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