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)

Question

Responses

14
14

100
100

10
10

9.22
9.22

Answer 1

To find the distance between the two points, we can use the formula d = √[(x2-x1)^2 + (y2-y1)^2].

Plugging in the coordinates (-1, 6) and (5, -2), we get:
d = √[(5-(-1))^2 + (-2-6)^2]
d = √[(5+1)^2 + (-2-6)^2]
d = √[6^2 + (-8)^2]
d = √[36 + 64]
d = √100
d = 10

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