Apply the Pythagorean Theorem to find the length between (- 1, 6) and (5,2) Round your answer to the nearest hundredth, if necessary (1 point)
To find the distance between the two points using the Pythagorean theorem, we first need to find the lengths of the two sides of the right triangle formed by the x and y coordinates.
The horizontal side length is the difference between the x-coordinates:
5 - (-1) = 6
The vertical side length is the difference between the y-coordinates:
2 - 6 = -4
Now we can use the Pythagorean theorem to find the distance:
d = √(6^2 + (-4)^2)
d = √(36 + 16)
d = √52
d ≈ 7.21
Therefore, the distance between (-1, 6) and (5, 2) is approximately 7.21 units.