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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