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

9.22
9.22

100
100

14
14

10
10

Answer 1

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

The horizontal distance is found by subtracting the x-coordinate of one point from the x-coordinate of the other point:
Horizontal distance = 5 - (-1) = 5 + 1 = 6

The vertical distance is found by subtracting the y-coordinate of one point from the y-coordinate of the other point:
Vertical distance = -2 - 6 = -8

Now, we can use the Pythagorean Theorem to find the length between the points:

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

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