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Worksheet: Equations of Vertical and Horizontal Lines

Q1:

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

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

Q2:

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

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

Q3:

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

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

Q4:

Determine the equation of the line parallel to the π‘₯ -axis that passes through ο€Ό βˆ’ 1 2 , 4  .

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

Q5:

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

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

Q6:

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

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

Q7:

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

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

Q8:

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

Q9:

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

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

Q10:

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

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

Q11:

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

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