Final answer:
The distance between the points (-4, -7) and (-8, -13) is √52 units.
Step-by-step explanation:
The distance between two points in the coordinate plane can be found using the distance formula, which is derived from the Pythagorean theorem. The distance formula is: d = √((x2-x1)^2 + (y2-y1)^2). In this case, the points are (-4, -7) and (-8, -13). Therefore, the distance is: d = √((-8-(-4))^2 + (-13-(-7))^2) = √((-8+4)^2 + (-13+7)^2) = √(4^2 + (-6)^2) = √(16 + 36) = √52 units.
Learn more about Pythagorean theorem and the coordinate plane