A tangent is defined as a line that touches a curve at a point and the line will have the same gradient (slope of a line measured as its ratio of vertical to horizontal change) as that of the curve at that point.

Name: A tangent is defined as a line that touches a curve at a point and the line will have the same gradient (slope of a line measured as its ratio of vertical to horizontal change) as that of the curve at that point.
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This is the correct definition of a tangent in this context

A Tangent Is Defined as a Line That Touches a Curve