Midpoint Formula – TI-84 Evo Math Program

Midpoint Formula program on a TI-84 Evo

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

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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Open it on the calculator

  1. Press the prgm key. The PROGRAMMING menu opens.
    The prgm key highlighted on the TI-84 Evo keyboard
    TI-84 Evo PROGRAMMING menu with 1: TI-Basic highlighted
  2. Press enter to select TI-Basic. The list of TI-Basic programs opens.
    TI-84 Evo TI-Basic program list showing 1: MIDPOINT
  3. Press enter on MIDPOINT in the program list, which puts prgmMIDPOINT on the home screen.
  4. 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.
    Midpoint Formula program on the TI-84 Evo asking for the x1 coordinate

Find the midpoint of two points

  1. 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).
    Midpoint Formula program on the TI-84 Evo showing Midpoint=(5,5) for the points 2, 3 and 8, 7

Good to know

  • 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.
    Midpoint Formula program on the TI-84 Evo showing Midpoint=(2.5,3.5) for the points 1, 2 and 4, 5
  • 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.

More TI-84 Evo Math Programs

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