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.

Sample Question Videos

  • 02:31
  • 02:43
  • 01:55

Worksheet

Q1:

Find the parametric equations of the straight line that passes through the point (−9,8) with direction vector (4,−7).

Q2:

Find the parametric equations of the straight line that makes an angle of 135∘ with the positive 𝑥-axis and passes through the point (1,−15).

Q3:

Consider the line shown that passes through the point (3,4) and makes an angle of 45 degrees with the positive 𝑥-axis.

Suppose that the distance between (3,4) and any point (𝑥,𝑦) on the line is 𝑟.

Write, in terms of 𝑟, an expression for the horizontal distance 𝑥−3 between the two points.

Write, in terms of 𝑟, an expression for the vertical distance 𝑦−4 between the two points.

Hence, write a pair of parametric equations which describe the line.

Find the coordinates of the point on the line which is at a distance of 4 from (3,4).
Preview Download

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.