# Vector Equation of a Line

A line is defined as the set of alligned points on the plane with a point, P, and a directional vector, .

If P(x_{1}, y_{1}) is a point on the line and the vector has the same direction as , then equals multiplied by a scalar unit:

#### Examples

A line passes through point A = (−1, 3) and has a directional vector with components (2, 5). Determine the equation of the vector.

Write the vector equation of the line which passes through the points A = (1, 2) and B = (−2, 5).

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