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 9.22 9.22 14 14 10
First, calculate the difference in x-coordinates and y-coordinates:
Δx = 5 - (-1) = 6
Δy = -2 - 6 = -8
Then, use the Pythagorean Theorem to find the distance between the two points:
distance = √(Δx^2 + Δy^2)
distance = √(6^2 + (-8)^2)
distance = √(36 + 64)
distance = √100
distance = 10
Therefore, the distance between the points (-1, 6) and (5, -2) is 10 units.