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

10
10

9.22
9.22

14
14

100
100

Answer 1

To find the length between two points using the Pythagorean Theorem, you need to calculate the distance between their x-coordinates and their y-coordinates separately.

Let's label the points as follows:
Point 1: (-1, 6)
Point 2: (5, -2)

The distance between the x-coordinates is:
5 - (-1) = 6

The distance between the y-coordinates is:
-2 - 6 = -8

To find the length between the two points, use the Pythagorean Theorem:

Length = √(6^2 + (-8)^2)
Length = √(36 + 64)
Length = √100
Length = 10

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