Answer: The midpoint is (-6, -2.5)
note: -2.5 is equivalent to the fraction -5/2
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Step-by-step explanation:
For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.
The value 5 is two units away from both endpoints 3 and 7.
Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.
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The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.
Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.
Put together, the midpoint is located at (-6, -2.5)
If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.