Lesson: Equation of a Straight Line: Vector Form Mathematics

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.