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Mathematics-Online course: Vector Calculus - Lines

# Two-Point Form

The points on a line passing through two points can be described in the following form:

where parameter values correspond to the points of the line segment .

Correspondingly, for the coordinates of the vector we have

Given a line through and in two point form. For the point partitions the line segment at a ratio of . In particular, the midpoint between and corresponds to the parameter value .