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Question 95950: Find the coordinates of the point half way between (-2,6) and (6,-4).
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Given the two points (-2, 6) and (6, -4)
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Finding the coordinates of the midpoint along the line that joins these two points can be
done by averaging the two x values of the points and then averaging the two y values of
the points.
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Let's do it.
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The x value of the midpoint comes from averaging the two x values of the points. In other
words find the x value of the midpoint by averaging -2 and +6. Add these two numbers and
divide by 2 to get the average. -2 + 6 adds to +4 and divide that by 2 to get +2 as the x
value of the midpoint.
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The y value of the midpoint comes from averaging the two y values of the points. So to get
the y value of the midpoint you average 6 and -4. Add these two values and you get +2.
Average by dividing by 2 to get +2/2 = +1. Therefore, the y value of the midpoint is +1.
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Putting these two together, the midpoint of the line joining the two given points is:
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(2, 1)
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Hope this helps you to understand how you can find the midpoint of the line that joins the
two points.
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