Worksheet: Slopes and Intercepts of Linear Equations

In this worksheet, we will practice identifying slopes and intercepts of linear equations both algebraically and graphically.

Q1:

What is the 𝑦 -intercept of the function 3 𝑦 = 1 5 π‘₯ + 1 8 ?

Q2:

What is the gradient of the function ?

  • A
  • B4
  • C
  • D2
  • E

Q3:

Determine the slope and 𝑦 -intercept of the line βˆ’ 3 𝑦 = 3 βˆ’ π‘₯ .

  • A Slope = 3, intercepted part = 1
  • B Slope = 1, intercepted part = 3
  • C Slope = βˆ’ 1 3 , intercepted part = 3
  • D Slope = 1 3 , intercepted part = 1

Q4:

Which of the following lines has intercepts ( 0 , 3 ) and ( βˆ’ 2 , 0 ) ?

  • A 6 𝑦 βˆ’ 4 π‘₯ = 4
  • B 6 𝑦 βˆ’ 4 π‘₯ = 1 2
  • C 4 𝑦 βˆ’ 6 π‘₯ = 4
  • D 4 𝑦 βˆ’ 6 π‘₯ = 1 2
  • E 6 𝑦 + 4 π‘₯ = 1 2

Q5:

List the π‘₯ - and 𝑦 -intercepts of the line 2 π‘₯ βˆ’ 3 𝑦 = 7 .

  • A ο€Ό 0 , 7 3  , ο€Ό βˆ’ 7 2 , 0 
  • B ο€Ό 0 , 7 3  , ο€Ό 7 2 , 0 
  • C ο€Ό 0 , βˆ’ 7 2  , ο€Ό 7 3 , 0 
  • D ο€Ό 0 , βˆ’ 7 3  , ο€Ό 7 2 , 0 
  • E ο€Ό 0 , βˆ’ 7 3  , ο€Ό βˆ’ 7 2 , 0 

Q6:

What is the slope of the function 𝑦 = 8 π‘₯ βˆ’ 3 ?

Q7:

Which of the following pairs has the same slope as that of 𝑦 = 6 π‘₯ βˆ’ 4 ?

  • A(4, 16), (2, 8)
  • B(3, 9), (2, 6)
  • C(3, 15), (4, 20)
  • D(2, 8), (4, 20)
  • E (5, 10), (6, 12)

Q8:

What is the slope of the line represented by the equation 𝑦 = 6 π‘₯ βˆ’ 7 ?

Q9:

The graph of the equation 𝑦 = 4 π‘₯ + 2 is a straight line.

What is the slope of the line?

What is the 𝑦 -intercept of the line?

Q10:

The graph of the equation 4 π‘₯ βˆ’ 3 𝑦 = 2 4 is a straight line.

What is the π‘₯ -intercept of the line?

What is the 𝑦 -intercept of the line?

What is the slope of the line?

  • A 1 3
  • B 3 4
  • C 4 3
  • D 1 6
  • E 1 8

Q11:

What is the slope of the line represented by the equation 𝑦 = βˆ’ 3 π‘₯ + 1 ?

Q12:

What is the slope of the linear function 𝑦 = 3 π‘₯ + 2 ?

Q13:

Given that the straight line passing through the points ( 3 π‘₯ , βˆ’ 3 ) and ( 1 5 , 0 ) is parallel to the 𝑦 -axis, determine the value of π‘₯ .

Q14:

Determine the slope and 𝑦 -intercept of the line 4 𝑦 = 1 βˆ’ 5 π‘₯ .

  • A Slope = 1, intercepted part = 5
  • B Slope = 5, intercepted part = 1
  • C Slope = 5 4 , intercepted part = 1
  • D Slope = βˆ’ 5 4 , intercepted part = 1 4

Q15:

Determine the slope and 𝑦 -intercept of the line βˆ’ 7 𝑦 = 6 + 8 π‘₯ .

  • A Slope = 6, intercepted part = 8
  • B Slope = βˆ’ 8 , intercepted part = 6
  • C Slope = 8 7 , intercepted part = 6
  • D Slope = βˆ’ 8 7 , intercepted part = 6 7

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