Final answer:
The distance between points A(2,6) and B(-1,-5) is calculated using the distance formula, which gives a result of √130 units.
Step-by-step explanation:
To calculate the distance between two points A(2,6) and B(-1,-5) in the Cartesian plane, we use the distance formula derived from the Pythagorean theorem. The distance formula is:
d(A, B) = √((x2 - x1)² + (y2 - y1)²)
Plugging in the coordinates of points A and B into the formula, we get:
d(A, B) = √((-1 - 2)² + (-5 - 6)²)
= √((-3)² + (-11)²)
= √(9 + 121)
= √130.
Therefore, the distance between point A and B is √130 units.