Worksheet: Graphing Linear Functions Using Intercepts

In this worksheet, we will practice representing linear functions by plotting enough points on the coordinate plane to recognize a pattern then connecting all the points.

Q1:

Let us consider the function 𝑓 ( π‘₯ ) = 8 π‘₯ βˆ’ 1 1 .

Fill in the table.

π‘₯ βˆ’1 0 1
𝑦 = 𝑓 ( π‘₯ )
  • A
    π‘₯ βˆ’1 0 1
    𝑦 = 𝑓 ( π‘₯ ) βˆ’19 8 3
  • B
    π‘₯ βˆ’1 0 1
    𝑦 = 𝑓 ( π‘₯ ) 3 βˆ’11 βˆ’3
  • C
    π‘₯ βˆ’1 0 1
    𝑦 = 𝑓 ( π‘₯ ) 3 0 βˆ’3
  • D
    π‘₯ βˆ’1 0 1
    𝑦 = 𝑓 ( π‘₯ ) βˆ’19 βˆ’11 βˆ’3
  • E
    π‘₯ βˆ’1 0 1
    𝑦 = 𝑓 ( π‘₯ ) βˆ’3 βˆ’11 3

Identify the three points that lie on the line 𝑦 = 8 π‘₯ βˆ’ 1 1 .

  • AI, H, G
  • BA, C, D
  • CB, C, D
  • DA, C, E
  • EH, I, G

Q2:

Consider the function 𝑓 ( π‘₯ ) = βˆ’ 2 π‘₯ + 5 .

Fill in the table.

π‘₯ βˆ’2 0 2
𝑦 = 𝑓 ( π‘₯ )
  • A
    π‘₯ βˆ’2 0 2
    𝑦 = 𝑓 ( π‘₯ ) 8 βˆ’2 1
  • B
    π‘₯ βˆ’2 0 2
    𝑦 = 𝑓 ( π‘₯ ) 1 5 1
  • C
    π‘₯ βˆ’2 0 2
    𝑦 = 𝑓 ( π‘₯ ) 1 βˆ’2 9
  • D
    π‘₯ βˆ’2 0 2
    𝑦 = 𝑓 ( π‘₯ ) 9 5 1
  • E
    π‘₯ βˆ’2 0 2
    𝑦 = 𝑓 ( π‘₯ ) 5 0 βˆ’1

Identify the three points that lie on the line 𝑦 = βˆ’ 2 π‘₯ + 5 .

  • AA, C, E
  • BI, H, J
  • CH, F, J
  • DH, I, G
  • EB, C, D

Q3:

Which of the following graphs represents the equation 𝑦 = βˆ’ π‘₯ + 7 ?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following graphs represents the equation 2 π‘₯ βˆ’ 3 𝑦 = 1 8 ?

  • A
  • B
  • C
  • D
  • E

Q5:

Sameh rides his bike at a steady rate of 15 miles per hour. The function shows how time relates to the distance . Which graph represents this function?

  • A
  • B
  • C
  • D
  • E

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