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To find the distance between the points \((7, -7)\) and \((9, -9)\) and form a right triangle, we can follow these steps:

### 1. Calculate the horizontal and vertical distances:
   - **Horizontal distance**: The difference in the \(x\)-coordinates is \(9 - 7 = 2\).
   - **Vertical distance**: The difference in the \(y\)-coordinates is \(-9 - (-7) = -2\), which has an absolute value of 2.

### 2. Use the Pythagorean theorem:
   Since the two distances form the legs of a right triangle, with the segment between \((7, -7)\) and \((9, -9)\) as the hypotenuse, we can apply the Pythagorean theorem:
   \[
   \text{Distance} = \sqrt{(2)^2 + (2)^2} = \sqrt{4 + 4} = \sqrt{8} \approx 2.8
   \]

### Final Answer:
The distance between the points, to the nearest tenth, is approximately **2.8 units**.

Would you like further explanation, or do you have any questions?

Here are some related questions:
1. How do we apply the Pythagorean theorem in coordinate geometry?
2. What is the general distance formula for two points?
3. How can we determine if a triangle is a right triangle based on coordinates?
4. Why is it important to understand distance in coordinate systems?
5. How do different quadrants affect distance calculations?

**Tip:** When working with coordinates, always double-check the signs of differences to avoid calculation errors.

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth, if necessary. Points given: (7, -7) and (9, -9).

Learn how to find the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem. This problem, featuring points (7, -7) and (9, -9), demonstrates the process step-by-step and is ideal for students in Grades 7-10.

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