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Let $\LL$ be a straight line embedded in a Cartesian plane.
The slope of $\LL$ is defined as the tangent of the angle that $\LL$ makes with the $x$-axis.
Let $P$ be a point on a curve $\CC$ embedded in a Cartesian plane.
The slope of $\CC$ at $P$ is defined as the slope of the tangent to $\CC$ at $P$.
Also known as
The slope of a straight line or curve is also sometimes referred to as its gradient.
However, that term has a more generic and abstract meaning than does the concept of slope as given here.
Some sources suggest that the slope of a straight line is the same as its direction, but this is true only in the plane.
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): slope