Lesson: Equation of a Straight Line: Parametric Form Mathematics

In this lesson, we will learn how to find the equation of a straight line in parametric form using a point on the line and the vector direction of the line.

Lesson Plan

Students will be able to

convert the equation of a two-dimensional straight line from vector form to parametric form,
write the parametric equation of a two-dimensional line given a point on the line and its direction vector,
write the parametric equation of a two-dimensional line given two points on the line.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

The vector equation of a straight line is given by . Which of the following pairs of parametric equations represents this straight line?

Q2:

Find the parametric equations of the straight line that passes through the point with direction vector .

Q3:

Fill in the blank: The direction vector of the straight line whose parametric equations are and is .