How to solve
Slope measures steepness as rise over run: how much y changes for each unit of x change between two points. The formula (y₂ − y₁)/(x₂ − x₁) captures that ratio; signs tell you whether the line goes up or down as x increases.
Steps
- Label the points (x₁, y₁) and (x₂, y₂).
- Compute m = (y₂ − y₁)/(x₂ − x₁).
- Simplify the fraction and keep track of signs.
Example
Find the slope through (1, 2) and (4, −4).
- Rise: −4 − 2 = −6.
- Run: 4 − 1 = 3.
- m = −6/3 = −2.
Answer: -2
How to type answers
- Enter a simplified fraction like -2/3 or an integer
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