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.

Answer 1

To find the distance between two points with the same y-coordinate in the same quadrant, you use the formula for the distance between two points in a Cartesian plane

Step-by-step explanation:

The distance between two points in the same quadrant with the same y-coordinate can be found using the formula:

Distance = |x₂ - x₁|

Given points (x₁, y) and (x₂, y), where the y-coordinates are the same, the distance formula is D = |x₂ - x₁|. Since the y-coordinates are identical, the distance is solely determined by the difference in their x-coordinates. This aligns with the horizontal displacement between the points on the same horizontal line. Therefore, the distance between them is the absolute value of the difference between their x-coordinates.

Answer 2

If the two points have the same y-coordinate, finding the distance is the same as finding the difference between the x-coordinates. Say you wanted to find the distance between (8,3) and (3,3). The y-coordinates are the same and the difference between the x-coordinates is 5, so the distance would be 5.

Hope this helps!