The Distance Formula
Solution
Sure, I can help with that. The distance formula is used to determine the distance, d, between two points in a plane. The formula is derived from the Pythagorean theorem and is given by:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Here's a step-by-step guide on how to use the distance formula:
Step 1: Identify the coordinates of the two points. Let's say the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).
Step 2: Subtract the x-coordinates of the two points from each other (x2 - x1) and square the result [(x2 - x1)^2].
Step 3: Subtract the y-coordinates of the two points from each other (y2 - y1) and square the result [(y2 - y1)^2].
Step 4: Add the results from step 2 and step 3 together.
Step 5: Take the square root of the result from step 4. This will give you the distance between the two points.
Remember, the order of the points does not matter due to the commutative property of addition. The distance from point A to point B is the same as the distance from point B to point A.
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