apply Pythagorean theorem to find the length between the two points (-2, -1) (2, 4)
To find the length between two points (-2, -1) and (2, 4), we can use the formula derived from the Pythagorean theorem.
The distance between two points (x1, y1) and (x2, y2) can be found using the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 = -2, y1 = -1, x2 = 2, y2 = 4
Distance = √((2 - (-2))^2 + (4 - (-1))^2)
Distance = √(4^2 + 5^2)
Distance = √(16 + 25)
Distance = √41
Therefore, the distance between the two points (-2, -1) and (2, 4) is √41.