Lesson Worksheet: Graphing Special Lines Mathematics

In this worksheet, we will practice graphing vertical and horizontal lines and lines with a slope of 1 or -1.

Q1:

Which of the following is an equation of a vertical line?

  • A𝑥𝑦=6
  • B𝑦=6
  • C𝑥+𝑦=6
  • D𝑦=𝑥
  • E𝑥=6

Q2:

Which of the following is an equation of a horizontal line?

  • A𝑦=𝑥
  • B𝑥+𝑦=1
  • C𝑥𝑦=1
  • D𝑦=1
  • E𝑥=1

Q3:

What is the equation of the straight line coincident to the 𝑦-axis?

  • A𝑥+1=0
  • B𝑥=0
  • C𝑥𝑦=0
  • D𝑦=0
  • E𝑥+𝑦=0

Q4:

Which of the following graphs represents the equation 𝑥+𝑦=3?

  • A
  • B
  • C
  • D

Q5:

Which points in the graph represent a solution to the equation 𝑦=2?

  • A𝐴 and 𝐵
  • B𝐽 and 𝐹
  • C𝐸, 𝐷, and 𝐻
  • D𝐽
  • E𝐸 and 𝐻

Q6:

Which points in the graph represent a solution to the equation 𝑥=3?

  • AB, D
  • BA, C, E, F
  • CG, I, K
  • DG, H, I, K
  • EJ

Q7:

Which points in the graph represent a solution to the equation 𝑥=3?

  • A𝐺,𝐻,𝐼,𝐾
  • B𝐵,𝐷
  • C𝐴,𝐶,𝐸,𝐹
  • D𝐽
  • E𝐺,𝐼,𝐾

Q8:

Which points in the graph represent a solution to the equation 𝑥=2?

  • A𝐴
  • B𝐷 and 𝐹
  • C𝐵,𝐶, and 𝐷
  • D𝐵,𝐶,𝐷, and 𝐸
  • E𝐷

Q9:

Which of the following represents the set of solutions of the equation 𝑥=6?

  • Aall the points in the vertical line passing through (6,4)
  • Ball the points in the vertical line passing through (4,6)
  • Call the points in the vertical line passing through (4,6)
  • Dall the points in the horizontal line passing through (6,4)
  • Eall the points in the horizontal line passing through (4,6)

Q10:

Find the rule of the function represented in the figure below.

  • A𝑓(𝑥)=7
  • B𝑓(𝑥)=7
  • C𝑓(𝑥)=7𝑥
  • D𝑓(𝑥)=7𝑥

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