(4,2)
(-1, -2)
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
The distance between the two points can be found using the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates for the two points:
d = sqrt((-1 - 4)^2 + (-2 - 2)^2)
d = sqrt((-5)^2 + (-4)^2)
d = sqrt(25 + 16)
d = sqrt(41)
Rounded to the nearest hundredth:
d ≈ 6.40
So, the distance between the points (4,2) and (-1,-2) is approximately 6.40 units.