Final answer:
The distance between the points (-1,15) and (8,-3) is found using the distance formula √((x2 - x1)² + (y2 - y1)²). After calculation, we find that the distance is approximately √405, which rounds to about 20 units to the nearest whole number.
Step-by-step explanation:
The distance between the points (-1,15) and (8,-3) can be found using the distance formula. The distance formula is derived from the Pythagorean theorem and is given by √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we have:
- x1 = -1, y1 = 15
- x2 = 8, y2 = -3
Plugging these into the formula, we get:
√((8 - (-1))² + (-3 - 15)²) = √((9)² + (-18)²) = √(81 + 324) = √405 ≈ 20.12
When rounding to the nearest whole number, the distance is approximately 20 units.