Final answer:
Using the distance formula, the distance between the points (-4, -5) and (1, -2) is found to be √34, which is option B in the list of possible answers.
Step-by-step explanation:
To find the distance between two points in a Cartesian plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance (d) between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)² + (y2 - y1)²)
In this case, for points (-4, -5) and (1, -2), we substitute the coordinates into the formula as follows:
d = √((1 - (-4))² + (-2 - (-5))²)
= √(5² + 3²)
= √(25 + 9)
= √34
Therefore, the distance between the points is √34, which corresponds to option B.