Find the distance between the two points rounding to the nearest tenth (if necessary).
(2,8) and (−2,0)

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

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

For the points \((2, 8)\) and \((-2, 0)\), we can plug the values into the formula:

\[
d = \sqrt{((-2) - 2)^2 + (0 - 8)^2}
\]
\[
d = \sqrt{(-4)^2 + (-8)^2}
\]
\[
d = \sqrt{16 + 64}
\]
\[
d = \sqrt{80}
\]
\[
d \approx 8.9
\]

So, the distance between the points is approximately **8.9 units**.

Would you like more details or have any questions? 

Here are 5 related questions:
1. What is the distance formula derived from?
2. How would the formula change in 3D space?
3. What are the midpoint coordinates between (2, 8) and (−2, 0)?
4. Can you find the slope between the points (2, 8) and (−2, 0)?
5. How do distances change if the points lie on the same axis?

**Tip**: Always double-check your calculations for squaring and subtraction when using the distance formula.

Find the distance between the two points rounding to the nearest tenth (if necessary). (2,8) and (−2,0)

Learn how to calculate the distance between two points (2,8) and (−2,0) using the distance formula. This problem involves key geometric concepts and the Pythagorean Theorem. Ideal for students in Grades 7-9, with a step-by-step solution and rounding to the nearest tenth.

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