Find x value for the point that splits segment co in halt point c is located at 4) and point d is located at (3,7)

Okay to split a segment in half you just need to find the midpoint of the two endpoints.  Mathematically this is just the average of the coordinates of the endpoints which is:

mp=((x1+x2)/2, (y1+y2)/2)

Which in this case is:

mp=((-2+3)/2, (4+7)/2)

mp=(1/2, 11/2)

mp=(0.5, 5.5)

So the x-coordinate by itself is just 0.5, or answer c.

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