Question

Calculate the distance between the points (-2, -3) and (2, 0).

Answer 1

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

Step-by-step explanation:

To calculate the distance between two points in the Cartesian plane, we can use the distance formula. The formula is:
`d = sqrt((x2 - x1)^2 + (y2 - y1)^2)`

For the points (-2, -3) and (2, 0), the coordinates are:

x1 = -2, y1 = -3

x2 = 2, y2 = 0

Plugging these values into the formula:
`d = sqrt((2 - (-2))^2 + (0 - (-3))^2) = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5`

So, the distance between the two points is 5 units.