Geometry · Coordinate Geometry

Calculate slope

Calculate slope.

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What you’ll learn

Calculate slope.

Key idea

Finite slope is vertical change divided by horizontal change, including its sign.

Subtract in matching point order and divide rise by run; signs encode direction.

Worked example

Enter the exact value or ordered values in the format requested below.

A line passes through A=(-3, -2), B=(-1, 3). Compute its exact slope as rise over run.

  1. Rise=3-(-2)=5; run=-1-(-3)=2.
  2. Slope=5/2=5/2.

Answer: 5/2

Quick Check

Evaluate a worked attempt at calculate slope, identify the first invalid step, and provide the correction.

For line points A=(-3, 0), B=(-2, -5), Step 1 gets rise=-5, run=1. Step 2 computes slope=run/rise=-1/5. Locate the first invalid step and correct slope.

Choose one answer

Show a hint

Subtract coordinates in the same point order for rise and run.