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A line can be described as an ideal zero-width, infinitely long, perfectly
straight curve (the term curve in mathematics includes "straight curves")
containing an infinite number of points. In Euclidean geometry, exactly one
line can be found that passes through any two point. The line provides the
shortest connection between the points.
In two dimensions, two different lines can either be parallel, meaning
they never meet, or may intersect at one and only one point. In three or
more dimensions, lines may also be skew, meaning they don't meet, but also
don't define a plane. Two distinct planes intersect in at most one line.
Three or more points that lie on the same line are called collinear.
Examples Lines in a Cartesian plane can be described algebraically by
linear equations and linear functions. In two dimensions, the
characteristic equation is often given by the slope-intercept form:
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