# Lesson Worksheet: Equation of a Straight Line: Parametric Form Mathematics

In this worksheet, we will practice finding the equation of a straight line in parametric form using a point on the line and the vector direction of the line.

Q1:

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

• A,
• B,
• C,
• D,
• E,

Q2:

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

• A,
• B,
• C,
• D,

Q3:

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

• A
• B
• C
• D
• E

Q4:

Fill in the blank: If straight line passes through the point and has a direction vector , then the parametric equations of line are .

• A,
• B,
• C,
• D,

Q5:

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

• A
• B
• C
• D

Q6:

A straight line passes through point and has a slope of . Which of the following pairs of parametric equations represents this straight line?

• A,
• B,
• C,
• D,
• E,

Q7:

Which of the following are the parametric equations of the line through point with a direction perpendicular to vector ?

• A,
• B,
• C,
• D,

Q8:

Find the parametric equation of the line that passes through the midpoint of , where and , and point .

• A,
• B,
• C,
• D,
• E,

Q9:

If is the diameter of a circle with center , where and , then which of the following are parametric equations for the line that passes through and point ?

• A,
• B,
• C,
• D,
• E,

Q10:

Find the parametric equations of the straight line that makes an angle of with the positive -axis and passes through the point .

• A,
• B,
• C,
• D,

This lesson includes 37 additional questions and 171 additional question variations for subscribers.