Midpoint Formula – TI-84 Evo Math Program

Type the coordinates of two points and this program gives you the midpoint of the segment between them.

By CalcPlex.

Send it to your calculator

Plug the calculator into your computer with a USB cable, then use the button below. If something is not working, see troubleshooting.

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Press the prgm key. The PROGRAMMING menu opens.
Press enter to select TI-Basic. The list of TI-Basic programs opens.
Press enter on MIDPOINT in the program list, which puts prgmMIDPOINT on the home screen.
Press enter to run it. The program asks for four numbers one at a time: the x and y of your first point, then the x and y of your second point.

Type each coordinate and press enter after it. For the points (2, 3) and (8, 7), the moment you enter the last number it answers Midpoint=(5,5).

It's the midpoint formula, worked out for you. The program averages the two x-coordinates and the two y-coordinates, ((x₁ + x₂) / 2, (y₁ + y₂) / 2), to land exactly halfway between your points. If you want the straight-line gap between the same two points instead, the Distance Formula program takes the same four coordinates.
The answer often lands on a half. Averaging two whole-number coordinates always gives a whole number or a half, so (1, 2) and (4, 5) come out as Midpoint=(2.5, 3.5). The .5 is exact, not a rounded-off decimal.
Negative coordinates work. Type them with the (-) key, not the subtraction key, and the program handles the arithmetic. Points (−4, 6) and (2, −2) give Midpoint=(−1, 2).
Rerun it with one keypress. Pressing enter on the home screen repeats whatever you ran last, so right after a run a single enter starts a fresh set of prompts.