Answer: Choice C
(0.5, 5.5)
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Explanation:
Draw out a number line with -2 and 3 on it. These are the x coordinates of the given points. Add up these values and divide by 2 to get the midpoint on the number line.
(A+B)/2 = (-2+3)/2 = 1/2 = 0.5
The value 0.5 is the midpoint of -2 and 3. This midpoint is equally spaced from both endpoints.
Therefore, the x coordinate of the midpoint is 0.5
Repeat this idea for the y coordinates
Add: 4 + 7 = 11
Divide the result in half: 11/2 = 5.5
The y coordinate of the midpoint is 5.5
The overall midpoint itself is located at (x,y) = (0.5, 5.5)
This is why choice C is the final answer.
Visual confirmation is shown below. GeoGebra has a nice handy feature to find the midpoint very quickly with just a few clicks.
