Question

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

First, we find the difference in the x-coordinates and y-coordinates of the two points.

x2 - x1 = 5 - (-1) = 6
y2 - y1 = -2 - 6 = -8

Then, we apply the Pythagorean theorem formula:

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

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