To find the distance between the points $(7, -7)$ and $(1, 2)$, we use the distance formula:

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

where:

• $(x_1, y_1) = (7, -7)$
• $(x_2, y_2) = (1, 2)$

Substitute the coordinates into the formula:

$d = \sqrt{(1 - 7)^2 + (2 - (-7))^2}$ $d = \sqrt{(-6)^2 + (9)^2}$ $d = \sqrt{36 + 81}$ $d = \sqrt{117}$ $d \approx 10.8$

The distance between the two points, rounded to the nearest tenth, is 10.8.

Do you want more details, or have any questions?

Related Questions:

1. How do you apply the distance formula for points in three dimensions?
2. What is the relationship between the distance formula and the Pythagorean theorem?
3. How do you calculate the midpoint between two points?
4. What is the formula for finding the distance between a point and a line?
5. How would the distance formula change for points in polar coordinates?

Tip:

Always double-check your squared differences to avoid sign errors when using the distance formula.