To determine the distance between two points in a two-dimensional coordinate plane, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
In this case, the coordinates of the first point are (-6.5, -2.5), and we need to find the distance between this point and the origin (0, 0). Therefore, the coordinates of the second point are (0, 0).
Substituting the values into the distance formula:
d = √((0 - (-6.5))² + (0 - (-2.5))²)
= √((0 + 6.5)² + (0 + 2.5)²)
= √((6.5)² + (2.5)²)
= √(42.25 + 6.25)
= √(48.5)
≈ 6.97
Therefore, the distance between the points (-6.5, -2.5) and (0, 0) is approximately 6.97 units.