On a number line, point a has a coordinate of -6, and point b has a coordinate of 2. which is the coordinate of point m, the midpoint of ab ? -2 0 -3 4

  -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.

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step-by-step explanation: