Question

(Pythagorean Theorem and the Coordinate Plane MC)

Determine the distance between the points (-2, -3) and (2, 0).
O2 units
O4 units
O 5 units
O 10 units

Answer 1

The distance between the points (-2, -3) and (2, 0) is 5 units.

Step-by-step explanation:

To find the distance between the points (-2, -3) and (2, 0), we can use the distance formula derived from the Pythagorean Theorem. The formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (-2, -3) and the coordinates of the second point are (2, 0). Plugging in these values into the formula:

d = sqrt((2 - (-2))^2 + (0 - (-3))^2) = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5 units

Therefore, the distance between the points (-2, -3) and (2, 0) is 5 units.

Learn more about Pythagorean Theorem and the Coordinate Plane