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) Responses 14 14 10 10 100 100 9.22 9.22

Answer 1

First, we need to find the length of the two sides of the right triangle formed by the points (-1, 6) and (5, -2).

Side 1: Length along the x-axis, which is 5 - (-1) = 6 units.
Side 2: Length along the y-axis, which is -2 - 6 = -8 units.

Now, we can use the Pythagorean Theorem to find the length of the hypotenuse:

c^2 = a^2 + b^2
c^2 = 6^2 + (-8)^2
c^2 = 36 + 64
c^2 = 100
c = 10

Therefore, the length between (-1, 6) and (5, -2) is 10 units.