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