Lesson: Equation of a Straight Line: Vector Form Mathematics • First Year of Secondary School

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In this lesson, we will learn how to find the equation of a straight line in vector form.

Students will be able to

recall the definition of the vector equation of a straight line using a direction vector and a vector pointing to a point on the line,
find the vector equation of a straight line given a point on the line and its direction vector,
find the vector equation of a straight line given a point on the line and its slope,
find the vector equation of a straight line given two points on the line,
prove that three points are collinear by using the vector equation of a straight line,
convert an equation of a straight line from standard form or slope–intercept form to vector form.