Slope Formula – TI-84 Evo Math Program

Type the coordinates of two points and this program gives you the slope of the line through them, along with its equation in y=mx+b form.

Send it to your calculator

Plug the calculator into your computer with a USB cable, then use the button below.

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Open it on the calculator

Press the prgm key, in the middle of the keyboard a couple of rows below the arrow keys.

The prgm key highlighted on the TI-84 Evo keyboard

The PROGRAMMING menu opens with TI-Basic already highlighted. Press enter.

TI-84 Evo PROGRAMMING menu with 1: TI-Basic highlighted

SLOPE is in the program list. Press enter to pick it, which puts prgmSLOPE on the home screen, then enter again to run it.

TI-84 Evo TI-Basic program list showing 1: SLOPE

Find the slope and the equation

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.

Slope Formula program on the TI-84 Evo asking for the x1 coordinate

Type each coordinate and press enter after it, using the (-) key for a negative. For the points (1, 2) and (3, 8), the moment you enter the last number it answers Slope=3 and y=3x-1.

Slope Formula program on the TI-84 Evo showing Slope=3 and y=3x-1 for the points 1, 2 and 3, 8

Good to know

  • It's the slope formula, worked out for you. The program computes (y₂ − y₁) / (x₂ − x₁) for the slope, then works back to the y-intercept so it can write the whole equation. If you want the straight-line distance between the same two points instead, the Distance Formula program takes the same four coordinates.
  • Vertical lines get caught. When both x-coordinates match there is no slope to compute, so the program answers "Undefined (vertical)" instead of dropping you on an error screen.
  • The equation comes out tidy. A horizontal line gives y=3 rather than y=0x+3, and a line through the origin gives y=3x rather than y=3x+0.
  • Answers that aren't whole come out as decimals. The points (1, 1) and (4, 3) give Slope=0.6666666667 and y=0.6666666667x+0.3333333333, not the exact thirds.
  • Negative coordinates work. Type them with the (-) key, not the subtraction key. Points (2, 7) and (5, 1) give Slope=-2 and y=-2x+11.
  • 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.
  • A calculator reset removes it. TI-Basic programs live in RAM, so if the program disappears after a reset, just send it again from this page.
Slope Formula program on the TI-84 Evo answering Undefined (vertical) when both x-coordinates are the same

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