Question

How do you find the distance between two points that have the same y-coordinate and lie in the same quadrant?

Write a few sentences to explain.

Answers

Answered by GPT-4o mini
To find the distance between two points that have the same y-coordinate and lie in the same quadrant, you can focus solely on their x-coordinates. Since the y-coordinates are identical, the distance can be calculated using the formula for distance on a horizontal line. Specifically, the distance \( d \) between the two points \((x_1, y)\) and \((x_2, y)\) is given by the absolute difference of their x-coordinates:

\[
d = |x_2 - x_1|
\]

This approach simplifies the calculation, since you do not need to consider any vertical distance, and it confirms that the points are indeed in the same horizontal level.

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