(-3,5) (7,-1) find the distance between these two points using the Pythagorean thereom

Using the Pythagorean theorem, the distance between two points can be calculated using the formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case:
x1 = -3, y1 = 5
x2 = 7, y2 = -1

Distance = √((7 - (-3))^2 + (-1 - 5)^2)
Distance = √(10^2 + (-6)^2)
Distance = √(100 + 36)
Distance = √136
Distance ≈ 11.66

Therefore, the distance between the points (-3,5) and (7,-1) is approximately 11.66 units.