Question

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

100
100

9.22
9.22

10
10

Answer 1

To find the length between the two points (-1, 6) and (5, -2) using the Pythagorean Theorem, we need to find the difference in the x-coordinates and the difference in the y-coordinates of the two points.

The difference in the x-coordinates is 5 - (-1) = 6.
The difference in the y-coordinates is (-2) - 6 = -8.

Using the Pythagorean Theorem, we can find the length (d) between the two points:

d² = (difference in x-coordinates)² + (difference in y-coordinates)²
d² = 6² + (-8)²
d² = 36 + 64
d² = 100

Taking the square root of both sides, we find:

d = √100
d = 10

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