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

100
100

9.22
9.22

14
14

10

1 answer

The length between (-1, 6) and (5, -2) can be found by using the Pythagorean Theorem. The formula is:

c^2 = (x2 - x1)^2 + (y2 - y1)^2

Plugging in the coordinates:

c^2 = (5 - (-1))^2 + (-2 - 6)^2
c^2 = (6)^2 + (-8)^2
c^2 = 36 + 64
c^2 = 100

Taking the square root of 100 gives us c = 10.

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