Question

(3, -2) and (-5, 3).

Answer 1

[AI-generated answer — Explain Bot]

The given points are (3, -2) and (-5, 3).

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.

The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between the given points using the distance formula:

Point 1: (x1, y1) = (3, -2)
Point 2: (x2, y2) = (-5, 3)

distance = sqrt((-5 - 3)^2 + (3 - (-2))^2)
= sqrt((-8)^2 + (3 + 2)^2)
= sqrt(64 + 25)
= sqrt(89)

Therefore, the distance between the points (3, -2) and (-5, 3) is sqrt(89), which is approximately 9.43 units.