find the distance between the two points -3,5 and 7,-1 using Pythagorean theorem
To find the distance between the two points (-3,5) and (7,-1) using the Pythagorean theorem, you can use the formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are:
x1 = -3, y1 = 5
x2 = 7, y2 = -1
Plugging in the values, we get:
Distance = sqrt((7 - (-3))^2 + (-1 - 5)^2)
Distance = sqrt(10^2 + (-6)^2)
Distance = sqrt(100 + 36)
Distance = sqrt(136)
Distance ≈ 11.66
Therefore, the distance between the two points (-3,5) and (7,-1) is approximately 11.66 units.