Answer:
-2
Step-by-step explanation:
The point -2 on the number line is 4 units from -6 and also 4 units from 2. The midpoint M is -2.
The midpoint can be found several ways. If you draw this number line and plot points A and B, it doesn't take long to find the answer choice that is the same distance from both A and B. (4 is not even between A and B, so cannot be the midpoint.)
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You can find the midpoint algebraically by averaging the values of A and B. Their average is their sum divided by 2, so is ...
M = (A +B)/2 = (-6 +2)/2 = -4/2
M = -2
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Consider pairs of points that are some number of units from A toward B and the same number of units from B toward A:
(-5, 1) . . . 1 unit away
(-4, 0) . . . 2 units away
(-3, -1) . . . 3 units away
(-2, -2) . . . 4 units away from A and B. -2 is the Midpoint.
