Answer:
The straight-line distance between the points is approximately 8.6.
Explanation:
The straight-line distance (
) between the points is determined by the following Pythagorean identity:
(1)
Where:
- Horizontal distance between the points.
- Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that
and
, then the straight-line distance is:
![d = \sqrt{5^(2)+(-7)^(2)}](https://img.qammunity.org/2022/formulas/mathematics/college/ba0xzhqz4fyc9gj96lcivi2o5s9i26sact.png)
![d \approx 8.6](https://img.qammunity.org/2022/formulas/mathematics/college/37qld3q7ouqqouespf92f8pigx10gvykk5.png)
The straight-line distance between the points is approximately 8.6.