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

10
10

14
14

9.22

1 answer

To apply the Pythagorean Theorem, we need to find the distance between the two points using their coordinates.

The coordinates of the first point are (-1, 6) and the coordinates of the second point are (5, -2).

We can use the formula for distance between two points in a coordinate plane:

distance = √((x2-x1)^2 + (y2-y1)^2)

Plugging in the coordinates:

distance = √((5-(-1))^2 + (-2-6)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10

The length between the two points is 10 units.

Therefore, the correct answer is "10."