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 𝑥 -axis?

  • A 8 𝑥 + 3 𝑦 = − 9
  • B − 2 𝑥 − 𝑦 = 0
  • C − 𝑥 − 5 𝑦 = 3
  • D − 9 𝑦 − 7 = 0

Q2:

Determine the equation of the line parallel to the 𝑥 -axis that passes through  − 1 2 , 4  .

  • A 𝑥 = 4
  • B 𝑦 = − 1 2
  • C 𝑥 = − 1 2
  • D 𝑦 = 4

Q3:

Complete the equation of the straight line coincident to the 𝑥 -axis: 𝑓 ( 𝑥 ) = .

Q4:

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

  • A 7 𝑥 + 6 𝑦 = 4
  • B − 3 𝑥 + 9 𝑦 = 0
  • C 9 𝑥 + 𝑦 = − 4
  • D 5 𝑥 − 9 = 0

Q5:

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

  • A 𝑦 + 5 = 0
  • B 𝑥 − 5 = 0
  • C 𝑦 − 5 = 0
  • D 𝑥 + 5 = 0

Q6:

Find the equations of the lines parallel to the two axes that pass through ( − 2 , − 1 0 ) .

  • A 𝑥 = 2 , 𝑦 = 1 0
  • B 𝑥 = − 1 0 , 𝑦 = − 2
  • C 𝑥 = 1 0 , 𝑦 = 2
  • D 𝑥 = − 2 , 𝑦 = − 1 0

Q7:

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

  • A 9 𝑥 + 7 𝑦 = − 1
  • B 3 𝑥 + 𝑦 = 0
  • C 3 𝑥 + 𝑦 = 1
  • D 5 𝑥 − 1 = 0

Q8:

Determine the equation of the line parallel to the 𝑥 -axis that passes through ( 2 , − 1 ) .

  • A 𝑥 = − 1
  • B 𝑦 = 2
  • C 𝑥 = 2
  • D 𝑦 = − 1

Q9:

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

  • A 𝑦 + 4 = 0
  • B 𝑥 + 1 = 0
  • C 𝑦 − 4 = 0
  • D 𝑥 − 1 = 0

Q10:

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

  • A 𝑥 = 5 , 𝑦 = − 9
  • B 𝑥 = 9 , 𝑦 = − 5
  • C 𝑥 = − 9 , 𝑦 = 5
  • D 𝑥 = − 5 , 𝑦 = 9

Q11:

Find the equations of the lines parallel to the two axes that pass through ( − 1 9 , 2 0 ) .

  • A 𝑥 = 1 9 , 𝑦 = − 2 0
  • B 𝑥 = 2 0 , 𝑦 = − 1 9
  • C 𝑥 = − 2 0 , 𝑦 = 1 9
  • D 𝑥 = − 1 9 , 𝑦 = 2 0

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