If the endpoints of AB are at (-4, 5) and (2, -7), what is the length of AB?

The length of AB is units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

∵ The endpoints of AB are (-4, 5) and (2, -7)

→ Let point (-4, 5) be (x1, y1) and point (2, -7) be (x2, y2)

∴ x1 = -4 and y1 = 5

∴ x2 = 2 and y2 = -7

→ Substitute them in the rule above to find the length of AB

∵

∴

∴

∴ The length of AB is units