Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2). Round your answer to the nearest hundredth, if necessary.
Responses
9.22
100
10
14
The length between (-1, 6) and (5, -2) can be found using the Pythagorean Theorem:
The difference in x-coordinates is 5 - (-1) = 6.
The difference in y-coordinates is -2 - 6 = -8.
Using these values, the length is given by √((6)^2 + (-8)^2) = √(36 + 64) = √100 = 10.
Therefore, the length between (-1, 6) and (5, -2) is 10 units.