How can a point on a curve have a “slope”? I do not understand this. I thought slopes were only features of straight lines.
2026-05-14 17:07:35.1778778455
Slope of a Curve at a Point
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The slope is not defined for a point. "The slope of a point" you hear is the slope of the tangent at that point.
Any curve you might encounter has numerous points on it, there is a tangent for every one of that point. So the slope of the tangent on the curve at that particular point can be said as "slope of the point" informally.
Mathematically, it is just defined as the slope of the tangent on that point.