ShmoopTube

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Here’s your shmoop du jour, brought to you by Line Segments.

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For when you’re not hungry enough to eat an entire line.

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The midpoint of AB is (1.5, 3). If A is (-0.5, 2), what is the x-coordinate of B?

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Okay, so we’re asked to find the x-coordinate of the point that will create a line segment

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whose midpoint is 1.5, 3.

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All right… first, it helps to graph out the information we do have.

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Since we’re just concerned with finding the x-coordinate, we only need to focus on

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the x-coordinates of the problem.

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To go from the x-coordinate of point A to the x-coordinate of the midpoint,

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we need to hop over 2 units to the right.

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Since it's the MIDPOINT, we know point B must have an

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x-coordinate another 2 units to the right of the midpoint.

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We have 1.5 plus 2 is 3.5...

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That's it. That's our answer. 3.5.

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