Worksheet: Graphing Linear Functions Using Intercepts

In this worksheet, we will practice graphing linear equations using intercepts.

Q1:

Consider the linear equation 𝑦 = 2 π‘₯ + 3 .

By finding the π‘₯ - and 𝑦 - intercepts, state the coordinates ( 0 , 𝑦 ) - i n t e r c e p t and ( π‘₯ , 0 ) - i n t e r c e p t where the graph of the function crosses the axes.

  • A ( 3 , 0 ) and ο€Ό 0 , βˆ’ 3 2 
  • B ( 0 , βˆ’ 3 ) and ο€Ό 3 2 , 0 
  • C ( βˆ’ 3 , 0 ) and ο€Ό 0 , 3 2 
  • D ( 0 , 3 ) and ο€Ό βˆ’ 3 2 , 0 
  • E ( 0 , 3 ) and ο€Ό βˆ’ 2 3 , 0 

Hence, identify which of these is the line of the equation.

  • AD
  • BC
  • CB
  • DA
  • EE

Q2:

Consider the linear equation 2 𝑦 βˆ’ 3 π‘₯ + 5 = 0 .

By finding the π‘₯ - and 𝑦 -intercepts, state the coordinates ( 0 , 𝑦 ) - i n t e r c e p t and ( π‘₯ , 0 ) - i n t e r c e p t where the graph of the function crosses the axes.

  • A ο€Ό βˆ’ 5 2 , 0  and ο€Ό 5 3 , 0 
  • B ο€Ό 0 , 5 2  and ο€Ό βˆ’ 5 3 , 0 
  • C ο€Ό 0 , βˆ’ 2 5  and ο€Ό 3 5 , 0 
  • D ο€Ό 0 , βˆ’ 5 2  and ο€Ό 5 3 , 0 
  • E ο€Ό 0 , 2 5  and ο€Ό βˆ’ 3 5 , 0 

Hence, identify which of these is the line of the equation.

  • AD
  • BC
  • CB
  • DA
  • EE

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