Final answer:
To find the distance between points B (-6,8) and J (-3,3), use the distance formula to get approximately 5.83 units, which is not listed in the provided options.
Step-by-step explanation:
To calculate the distance between two points B (-6,8) and J (-3,3) on a coordinate plane, you can use the distance formula derived from the Pythagorean theorem:
d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of points B and J, respectively.
Substituting the given coordinates into the formula, we get:
d = √((-3 - (-6))² + (3 - 8)²)
d = √((3)² + (-5)²)
d = √(9 + 25)
d = √34 ≈ 5.83 units
The calculated distance of approximately 5.83 units is not listed in the options provided, suggesting that there might either be a rounding difference or an error in the question or options. Among the given choices, the closest to our calculated distance is (c) 5.00 units, but it's still not correct.