Coordinate Geometry

Step 1: Understanding the Concept:
To find the distance between two points in a Cartesian coordinate system, we use the distance formula, which is derived from the Pythagorean theorem.
Step 2: Key Formula or Approach:
The distance between two points and is given by the formula:

Step 3: Detailed Explanation:
Let the coordinates of point A be .
Let the coordinates of point B be .
Substitute these values into the distance formula:

Be careful with the double negative sign:




To simplify the square root of 32, find the largest perfect square factor of 32. .

Step 4: Final Answer:
The distance between points A and B is units.