To find the distance between two points $A(10, 8)$ and $B(2, 2)$, we can use the distance formula:

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

Where:

• $(x_1, y_1)$ are the coordinates of point A (10, 8),
• $(x_2, y_2)$ are the coordinates of point B (2, 2).

Substitute the values into the formula:

$d = \sqrt{(2 - 10)^2 + (2 - 8)^2}$ $d = \sqrt{(-8)^2 + (-6)^2}$ $d = \sqrt{64 + 36}$ $d = \sqrt{100}$ $d = 10$

So, the distance between points $A(10, 8)$ and $B(2, 2)$ is $10$ units.

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. What is the distance formula derived from?
2. How would you find the midpoint between two points?
3. Can you determine the slope of the line through points A and B?
4. How is the distance formula related to the Pythagorean theorem?
5. How would the formula change for points in 3D space?

Tip: Memorizing the distance formula is useful, but understanding its geometric meaning helps solve problems more intuitively!