B(- 5, 5)
A - (2, - 3)
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
The distance between points A and B can be found using the formula for distance between two points in a coordinate plane:
AB = √ [(x2 - x1)^2 + (y2 - y1)^2]
Substitute the coordinates of points A(-2, -3) and B(5, 5) into the formula:
AB = √ [(5 - (-2))^2 + (5 - (-3))^2]
AB = √ [ (5 + 2)^2 + (5 + 3)^2 ]
AB = √ [ (7)^2 + (8)^2 ]
AB = √ [ 49 + 64 ]
AB = √113
Rounded to the nearest hundredth, the distance between points A and B is approximately 10.63.