Learn how to use the midpoint formula to find the midpoint of a line segment on the coordinate plane, or find the endpoint of a line segment given one point and the midpoint.

What problems can I solve with the midpoint formula? Given two points on the plane, you can find their midpoint. For example, let's find the midpoint of (5, 3) and (1, 7) :

That's it! We derived the distance formula! Interestingly, a lot of people don't actually memorize this formula. Instead, they set up a right triangle, and use the Pythagorean theorem whenever …

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In surveys or data analysis, finding the midpoint between two values can help figure out trends or create averages. It’s basically the “let’s split this thing evenly” tool for real life.

We should find the zeros of f'' (x) to find the inflection points. Then we can use the inflection point to find concave upward and concave downward.

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Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint.

If we do a left Riemann sum, you use the left side of each of these subdivisions in order to find the height. You evaluate the function at the left end of each of those subdivisions for the height of …

Given two complex numbers (either algebraically or graphically), find their midpoint.