apply Pythagorean theorem to find the length between (-1, 6) and (5, -2)
To find the length between two points (-1, 6) and (5, -2) using the Pythagorean theorem, we need to first calculate the differences in the x-coordinates and y-coordinates of the two points.
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 = 5 - (-1) = 6
The difference in y-coordinates = -2 - 6 = -8
Now, we can use these differences to form a right triangle where the length between the two points is the hypotenuse.
Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can calculate the length between the two points:
Length = √((6)^2 + (-8)^2)
Length = √(36 + 64)
Length = √100
Length = 10
Therefore, the length between points (-1, 6) and (5, -2) is 10 units.