To find the length between the two points (-2,-1) and (4, 2) using the Pythagorean Theorem, we find the distance between their x-coordinates and their y-coordinates.
The distance between the x-coordinates is the difference between their values: 4 - (-2) = 6.
The distance between the y-coordinates is the difference between their values: 2 - (-1) = 3.
Using the Pythagorean Theorem, the length between the two points is the square root of the sum of the squares of these differences:
√(6² + 3²) = √(36 + 9) = √45 ≈ 6.71 (rounded to the nearest hundredth).
The length between the two points (-2,-1) and (4, 2) is approximately 6.71 units.
Apply the Pythagorean Theorem to find the length between the two points (-2,-1) (4, 2). Round your answer to the nearest hundredth, if necessary. (1 point) Responses 6:40, 41, 5.57, 9
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