Worksheet: Equations of Vertical and Horizontal Lines

In this worksheet, we will practice writing the equations of vertical and horizontal lines.

Q1:

Which of the following equations represents a line parallel to the π‘₯-axis?

  • A βˆ’ π‘₯ βˆ’ 5 𝑦 = 3
  • B βˆ’ 2 π‘₯ βˆ’ 𝑦 = 0
  • C βˆ’ 9 𝑦 βˆ’ 7 = 0
  • D 8 π‘₯ + 3 𝑦 = βˆ’ 9

Q2:

Determine the equation of the line parallel to the π‘₯-axis that passes through ο€Όβˆ’12,4.

  • A π‘₯ = 4
  • B 𝑦 = 4
  • C 𝑦 = βˆ’ 1 2
  • D π‘₯ = βˆ’ 1 2

Q3:

Complete the equation of the straight line coincident to the π‘₯-axis: 𝑓(π‘₯)=.

Q4:

Which of the following equations represents a line parallel to the 𝑦-axis?

  • A 5 π‘₯ βˆ’ 9 = 0
  • B βˆ’ 3 π‘₯ + 9 𝑦 = 0
  • C 9 π‘₯ + 𝑦 = βˆ’ 4
  • D 7 π‘₯ + 6 𝑦 = 4

Q5:

Determine the Cartesian equation of the straight line passing through the point (βˆ’5,βˆ’5) and parallel to the 𝑦-axis.

  • A π‘₯ + 5 = 0
  • B 𝑦 + 5 = 0
  • C π‘₯ βˆ’ 5 = 0
  • D 𝑦 βˆ’ 5 = 0

Q6:

Find the equations of the lines parallel to the two axes that pass through (βˆ’2,βˆ’10).

  • A π‘₯ = βˆ’ 2 , 𝑦 = βˆ’ 1 0
  • B π‘₯ = βˆ’ 1 0 , 𝑦 = βˆ’ 2
  • C π‘₯ = 1 0 , 𝑦 = 2
  • D π‘₯ = 2 , 𝑦 = 1 0

Q7:

Which of the following equations represents a line parallel to the 𝑦-axis?

  • A 5 π‘₯ βˆ’ 1 = 0
  • B 3 π‘₯ + 𝑦 = 0
  • C 3 π‘₯ + 𝑦 = 1
  • D 9 π‘₯ + 7 𝑦 = βˆ’ 1

Q8:

Determine the equation of the line parallel to the π‘₯-axis that passes through (2,βˆ’1).

  • A π‘₯ = βˆ’ 1
  • B 𝑦 = βˆ’ 1
  • C 𝑦 = 2
  • D π‘₯ = 2

Q9:

Determine the Cartesian equation of the straight line passing through the point (1,βˆ’4) and parallel to the 𝑦-axis.

  • A π‘₯ βˆ’ 1 = 0
  • B 𝑦 + 4 = 0
  • C π‘₯ + 1 = 0
  • D 𝑦 βˆ’ 4 = 0

Q10:

Find the equations of the lines parallel to the two axes that pass through (βˆ’5,9).

  • A π‘₯ = βˆ’ 5 , 𝑦 = 9
  • B π‘₯ = 9 , 𝑦 = βˆ’ 5
  • C π‘₯ = βˆ’ 9 , 𝑦 = 5
  • D π‘₯ = 5 , 𝑦 = βˆ’ 9

Q11:

Find the equations of the lines parallel to the two axes that pass through (βˆ’19,20).

  • A π‘₯ = βˆ’ 1 9 , 𝑦 = 2 0
  • B π‘₯ = 2 0 , 𝑦 = βˆ’ 1 9
  • C π‘₯ = βˆ’ 2 0 , 𝑦 = 1 9
  • D π‘₯ = 1 9 , 𝑦 = βˆ’ 2 0

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