How to Solve Distance & Midpoint

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Solving distance and midpoint is something you do with your coordinate system. Solve distance and midpoint with help from an experienced math professional in this free video clip.

Part of the Video Series: Solving Math Problems
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Video Transcript

Hi, I'm Ryan Ault. I'm a physicist and this is how to solve distance and midpoint. So the first thing you want to do is draw your coordinate system and we usually use three dimensional systems. If you don't, you're actually just using a simplified version where it's two. So you have an x, you can call the upward one y if you want, z you can call whatever you want. And you have to identify your points. Let's say we have a point somewhere here, and another one over here. You can identify these points with coordinates. So this one has x1, y1, amount going up, and it also has z1, the amount coming out. OK. And the second point of course has x2, y2, and z2. If we want to find the distance between these points we can use the equation distance is equal to the square root. Now for an easier calculation I'm going to drop that third dimension. Let's say z2 equals z1. OK so we don't need that one anymore. And we can say that y2 minus y1 is nonzero and likewise, x2 minus x1 squared is also nonzero. So this is the distance equation. And if we want the midpoint we simply divide the distance divided by two. Because the distance is the amount of space between these two points and the midpoint is exactly in between. So we can find that m, midpoint is equal to d over two. I'm Ryan Ault and this is how to solve distance and midpoint.


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