Apply the pythagorean theorem to find the length between (-1, 6) and (5, -2). Round your answer to the nearest hundredth, if necessary.

Answer 1

The distance between two points in a coordinate plane can be found using the distance formula or by applying the Pythagorean theorem.

Let's call the first point (-1, 6) as point A and the second point (5, -2) as point B.

The difference in x-coordinates can be found as:
Δx = 5 - (-1) = 5 + 1 = 6

The difference in y-coordinates can be found as:
Δy = -2 - 6 = -8

Now, apply the Pythagorean theorem:
Distance = √(Δx^2 + Δy^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10

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