To find the distance between two points in a coordinate plane, you 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 = √((x2 - x1)² + (y2 - y1)²)
In this case, the two given points are (3, -3) and (-3, 4). Let's label them as follows:
Point A: (x1, y1) = (3, -3)
Point B: (x2, y2) = (-3, 4)
Now, plug the values into the distance formula:
Distance = √((-3 - 3)² + (4 - (-3))²)
= √((-6)² + (4 + 3)²)
= √(36 + 49)
= √85
Therefore, the distance between (3, -3) and (-3, 4) is √85, which is approximately 9.22 units.