Final answer:
Using the distance formula, the distance between points (4,3) and (2,-2) is calculated to be approximately 5.39 units, which is rounded to 5 units as per the given options. Hence, Option 1: 5 units is the correct answer.
Step-by-step explanation:
To find the distance between two points, you can use the distance formula derived from the Pythagorean theorem. The distance formula is √((x2 - x1)² + (y2 - y1)²). For points (4,3) and (2,-2), calculate the distance as follows:
√((2 - 4)² + (-2 - 3)²)
= √((-2)² + (-5)²)
= √(4 + 25)
= √(29)
≈ 5.39
However, since the options are provided in whole numbers, we round it to the nearest whole number which gives us 5 units.
The correct answer is Option 1: 5 units.