Final answer:
The length of the line segment from the point (-6, 8) to the point (6, -1) is determined using the distance formula and is found to be 15 units.
Step-by-step explanation:
To determine the length of the line segment from the point (-6, 8) to the point (6, -1), we use the distance formula: √((x₂ - x₁)² + (y₂ - y₁)²).To determine the length of the line segment between (-6, 8) and (6, -1), we can use the distance formula.
The distance formula is given by √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment. Plugging in the values, we get √((6 - (-6))^2 + (-1 - 8)^2) = √(12^2 + (-9)^2) = √(144 + 81) = √225 = 15 units.
Therefore, the length of the line segment is 15 units. Plugging in the coordinates, we have √((6 - (-6))² + (-1 - 8)²) = √((12)² + (-9)²) = √(144 + 81) = √225 = 15 units. Therefore, the length of the line segment is 15 units.