Worksheet: Graphing Linear Functions Using Tables

In this worksheet, we will practice graphing linear equations by making tables.

Q1:

Which of the following graphs represents the equation 𝑦 = 4 3 𝑥 ?

  • A
  • B
  • C
  • D
  • E

Q2:

Consider the linear equation 𝑦 = 5 2 𝑥 .

We can draw a straight line to represent this equation. Complete the table to find the coordinates of points on the line.

𝑥 −2 −1 0 1 2
𝑦
  • A9, 7, 5, 3, 2
  • B1, 3, 5, 7, 9
  • C9, 7, 6, 3, 1
  • D9, 7, 5, 3, 1

Which of the following is the graph of the equation?

  • A
  • B
  • C
  • D

Which of these points is not on the line?

  • A ( 4 , 3 )
  • B ( 3 , 1 1 )
  • C ( 6 , 6 )
  • D ( 4 , 1 3 )
  • E ( 3 , 1 )

Q3:

Which of the following graphs represents the equation 𝑦 = 2 𝑥 + 3 ?

  • A
  • B
  • C
  • D
  • E

Q4:

Bassem wants to draw the graph of the linear equation 𝑦 = 3 𝑥 4 .

He plotted the points with 𝑥 -coordinates 0, 1, 2, 3, and 4 but made one mistake.

Which point is incorrect?

  • AB
  • BA
  • CC
  • DD
  • EE

What are the correct coordinates of this point?

  • A ( 3 , 5 )
  • B ( 3 , 4 )
  • C ( 4 , 4 )
  • D ( 4 , 5 )
  • E ( 3 , 6 )

Q5:

Which of the following is the function represented by the shown graph?

  • A 𝑦 = 2 𝑥 + 2 3
  • B 𝑦 = 3 2 𝑥 + 2
  • C 𝑦 = 2 3 𝑥 2
  • D 𝑦 = 2 3 𝑥 + 2
  • E 𝑥 = 2 3 𝑦 + 2

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