Worksheet: Equations of Horizontal, Parallel, and Perpendicular Straight Lines

In this worksheet, we will practice finding the equation of a straight line that is either horizontal, parallel, or perpendicular to another line.

Q1:

Which of the following lines is perpendicular to the line ?

• A
• B
• C
• D
• E

Q2:

Lines and are perpendicular to each other and meet at . If the slope of is , what is the equation of line ?

• A
• B
• C
• D
• E

Q3:

Consider the graph:

Which of the following could be the equation of the line?

• A
• B
• C
• D
• E

Q4:

Which axis is the straight line parallel to?

• A -axis
• B -axis

Q5:

Write, in the form , the equation of the line that is perpendicular to the line and that intercepts the -axis at 20.

• A
• B
• C
• D
• E

Q6:

Write, in the form , the equation of the line through that is perpendicular to , where .

• A
• B
• C
• D
• E

Q7:

In the figure below, and length units. If the equation of is , find the equation of .

• A
• B
• C
• D

Q8:

Find the equation of the straight line passing through the point and perpendicular to the straight line passing through the points and .

• A
• B
• C
• D

Q9:

If the straight line passing through the two points and is perpendicular to the straight line whose equation is , find the value of .

• A
• B33
• C5
• D

Q10:

If the two straight lines and are perpendicular, find the value of .

Q11:

The straight lines and are parallel. What is the value of ?

Q12:

The line is perpendicular to the line through points and . What is ?

Q13:

The square has an area of 13, and the corner has coordinates . Give the equation of in the form .

• A
• B
• C
• D
• E

Q14:

Given and , find the equation of the perpendicular to that passes through the midpoint of this line segment. Give your answer in the form .

• A
• B
• C
• D

Q15:

The line meets the - and -axis at points and respectively. Find the equation of the line perpendicular to and passing through its midpoint.

• A
• B
• C
• D

Q16:

Given and , what is the perpendicular bisector of the segment ?

• A
• B
• C
• D

Q17:

Let and be the - and -intercepts of the line . Give the equation of the line parallel to the -axis that passes through the midpoint of .

• A
• B
• C
• D

Q18:

Which axis is the straight line parallel to?

• A -axis
• B -axis

Q19:

If lines and are perpendicular, which of the following products equals ?

• A and
• B and
• C and
• D and