Asked by Rachel
Find the coordinate of the midpoint of a segment with the endpoints at –9 and 6.
A.1.5
B.–1.5
C.2
D.–3
A.1.5
B.–1.5
C.2
D.–3
Answers
Answered by
Steve
the midpoint is halfway between the two values.
The difference between -9 and 6 is 15. (That is, 6 - (-9)) Half that difference is 15/2. So, add half the difference to the smaller value:
-9 + 15/2 = -3/2
or, subtract half the difference from the larger value:
6 - 15/2 = -3/2
Or (and this is a much better and simpler way), a value halfway between two other values, a and b, is their average: (a+b)/2
(-9+6)/2 = -3/2
So, choice B is correct.
The difference between -9 and 6 is 15. (That is, 6 - (-9)) Half that difference is 15/2. So, add half the difference to the smaller value:
-9 + 15/2 = -3/2
or, subtract half the difference from the larger value:
6 - 15/2 = -3/2
Or (and this is a much better and simpler way), a value halfway between two other values, a and b, is their average: (a+b)/2
(-9+6)/2 = -3/2
So, choice B is correct.
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