find the distance between the points (-3, 5) and (7, -1) using the pythagorean theorum

Answer 1

To find the distance between two points using the Pythagorean theorem, we can use the formula:

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

Given points:
Point 1: (-3, 5) = (x1, y1)
Point 2: (7, -1) = (x2, y2)

Substituting into the formula, we get:

Distance = √( (7 - (-3))^2 + (-1 - 5)^2 )
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.