Final answer:
The distance between the points (-1, -1) and (4, 8) is found using the distance formula, which yields approximately 10.3 units. None of the given answer choices matches this calculation.
Step-by-step explanation:
To find the distance between the points (-1, -1) and (4,8) on the coordinate grid, we use the distance formula which is derived from the Pythagorean theorem:
Distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values for our coordinate points, we get:
Distance = √((4 - (-1))^2 + (8 - (-1))^2)
Distance = √((4 + 1)^2 + (8 + 1)^2)
Distance = √(5^2 + 9^2)
Distance = √(25 + 81)
Distance = √106
Distance = 10.3 units (approx.)