How do you find the slope of a line given two points?

Mathematics

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Answer

(y₂ − y₁) / (x₂ − x₁)

The slope (m) measures how steep a line is. Given two points (x₁, y₁) and (x₂, y₂):

m = (y₂ − y₁) / (x₂ − x₁)

Example: Find the slope between (2, 3) and (6, 11): m = (11 − 3)/(6 − 2) = 8/4 = 2

Interpretation: • Positive slope → line goes up (left to right) • Negative slope → line goes down • Zero slope → horizontal line • Undefined slope → vertical line

The slope is also the "rise over run" — how much y changes for each unit change in x.

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Quick Answer

The slope (m) measures how steep a line is.

How do you find the slope of a line given two points?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
The slope (m) measures how steep a line is. Given two points (x₁, y₁) and (x₂, y₂): m = (y₂ − y₁) / (x₂ − x₁) Example: Find the slope between (2, 3) and (6, 11): m = (11 − 3)/(6 − 2) = 8/4 = 2 Interpretation: • Positive slope → line goes up (left to right) • Negative slope → line goes down • Zero slope → horizontal line • Undefined slope → vertical line The slope is also the "rise over run" — how much y changes for each unit change in x.