How to find coordinates of interval midpoint on Cartesian number plane (example)
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To find the coordinates of the midpoint of an interval on the Cartesian coordinate plane, you can use the following formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Where:
(x1, y1) are the coordinates of one endpoint of the interval.
(x2, y2) are the coordinates of the other endpoint of the interval.
Here's a step-by-step explanation:
1. Identify the coordinates of the two endpoints of the interval. Let's call them (x1, y1) and (x2, y2).
2. Use the formula above to calculate the coordinates of the midpoint:
For the x-coordinate of the midpoint, add the x-coordinates of the two endpoints and divide by 2: (x1 + x2) / 2.
For the y-coordinate of the midpoint, add the y-coordinates of the two endpoints and divide by 2: (y1 + y2) / 2.
3. The result will give you the coordinates of the midpoint of the interval.
For example, if you have two endpoints A(2, 4) and B(6, 10), you can find the midpoint as follows:
Midpoint = ((2 + 6) / 2, (4 + 10) / 2) = (4, 7)
So, the midpoint of the interval AB is (4, 7).
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