Formula for Finding a Point One Third of the Way from Two Given Points (x1, y1) and (x2, y2)

The point one third of the way from (x1,y1) to (x2, y2) can be found with the formula (x1+x2/3, y1+y2/3)

To find the point one third of the way from (x1, y1) to (x2, y2), you can use the formula (x1 + x2/3, y1 + y2/3)

To find the point one third of the way from (x1, y1) to (x2, y2), you can use the formula (x1 + x2/3, y1 + y2/3).

Let’s break down the formula and understand how it works.

First, let’s find the x-coordinate of the point. We add the x-coordinates of the two given points (x1 and x2) and divide the sum by 3. This gives us (x1 + x2)/3.

Next, let’s find the y-coordinate of the point. We add the y-coordinates of the two given points (y1 and y2) and divide the sum by 3. This gives us (y1 + y2)/3.

Therefore, the coordinates of the point one third of the way from (x1, y1) to (x2, y2) are ((x1 + x2)/3, (y1 + y2)/3).

Let’s apply this formula to an example:
Suppose we have two points: A(4, 6) and B(10, 12). We want to find the point one third of the way from A to B.

Using the formula, the x-coordinate of the point is (4 + 10)/3 = 14/3 ≈ 4.67.
The y-coordinate of the point is (6 + 12)/3 = 18/3 = 6.

Therefore, the point one third of the way from A(4, 6) to B(10, 12) is approximately (4.67, 6).

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