Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
points are
(2, 4)
(-2,-1)
(1 point)
Responses
6:40
5.57
41
9
To find the distance between the two points (2, 4) and (-2, -1), we can use the Pythagorean Theorem.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the two points:
d = sqrt((-2 - 2)^2 + (-1 - 4)^2)
Solving that gives:
d = sqrt((-4)^2 + (-5)^2)
d = sqrt(16 + 25)
d = sqrt(41)
Rounding to the nearest hundredth, the distance between the two points is approximately 6.40.