Question

(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.

Answer 1

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.