nLab slope of a line

This entry is about the concept in elementary geometry. For other notions of slope see there.

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Idea

The slope of a line in the Cartesian plane $\mathbb{R}^2$ given, in the canonical coordinates $(x,y \;\colon\; \mathbb{R}^2 \to \mathbb{R})$ by the equation

$$y \,=\, y_0 + s \cdot x$$

is the factor $s$.

Related concepts

• tangent

• direction of a vector

• gradient

References

See also

• Wikipedia, Slope