Final answer:
To calculate the distance between the points (-8, -2) and (6, -1), the distance formula is applied, resulting in a distance of approximately 14.04 units after rounding to the nearest hundredth.
Step-by-step explanation:
The distance between two points in a Cartesian coordinate system can be found using the distance formula, which is √((x2 - x1)² + (y2 - y1)²). Applying this formula to the points (-8, -2) and (6, -1), we calculate the distance as follows:
Distance = √((6 - (-8))² + (-1 - (-2))²) = √((6 + 8)² + (-1 + 2)²) = √(14² + 1²) = √(196 + 1) = √(197)
When you calculate the square root of 197, you get approximately 14.0357. Rounding to the nearest hundredth gives us 14.04.
Therefore, the distance between the points (-8, -2) and (6, -1) is 14.04 units.