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Straight Lines, Gradients and Linear Equations: y = mx + c

In this worksheet, students state the gradient of a straight line given its equation (y = mx + c).

'Straight Lines, Gradients and Linear Equations: y = mx + c' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear Equations (Two Variables) and Gradients

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The gradient of a line can easily be stated by looking carefully at its equation.

 

For the line with equation y = mx + c, the gradient is m.

m is the coefficient of x when in the form y = ......

 

Example

State the gradient of the line with equation y = 2x + 1

 

Answer

Comparing y = 2x + 1 to y = mx + c, we see that m = 2

The gradient of the line, m, is 2.

 

Check

The line is shown below.

                                    y = 2x + 1

 

Note 

The equation y = 2x + 1 can be rewritten in several ways as shown below. 

They all represent the SAME line.

y = 1 + 2x

y - 1 = 2x

x = ½ (y - 1)

State the gradient of the line with equation:

y = 2x + 3

 

State the gradient of the line with equation:

 

y = 4x + 3

State the gradient of the line with equation:

 

y = 6x - 3

State the gradient of the line with equation:

 

y = 5x

State the gradient of the line with equation:

 

y = 5

State the gradient of the line with equation:

 

y = -6x + 3

State the gradient of the line with equation:

 

y = x + 3

State the gradient of the line with equation:

 

y = 4 + 3x

State the gradient of the line with equation:

 

y = 4 - 7x

State the gradient of the line with equation:

 

y + 3 = 2x

  • Question 1

State the gradient of the line with equation:

y = 2x + 3

 

CORRECT ANSWER
2
EDDIE SAYS

y = 2x + 3

m = 2

  • Question 2

State the gradient of the line with equation:

 

y = 4x + 3

CORRECT ANSWER
4
EDDIE SAYS

y = 4x + 3

m = 4

  • Question 3

State the gradient of the line with equation:

 

y = 6x - 3

CORRECT ANSWER
6
EDDIE SAYS

y = 6x - 3

m = 6

  • Question 4

State the gradient of the line with equation:

 

y = 5x

CORRECT ANSWER
5
EDDIE SAYS

y = 5x + 0

m = 5

  • Question 5

State the gradient of the line with equation:

 

y = 5

CORRECT ANSWER
0
EDDIE SAYS

y =0x + 5

m = 0

  • Question 6

State the gradient of the line with equation:

 

y = -6x + 3

CORRECT ANSWER
-6
EDDIE SAYS

y = -6x + 3

m = -6

  • Question 7

State the gradient of the line with equation:

 

y = x + 3

CORRECT ANSWER
1
EDDIE SAYS

y = 1x + 3

m = 1

  • Question 8

State the gradient of the line with equation:

 

y = 4 + 3x

CORRECT ANSWER
3
EDDIE SAYS

y = 3x + 4

m = 3

  • Question 9

State the gradient of the line with equation:

 

y = 4 - 7x

CORRECT ANSWER
-7
EDDIE SAYS

y = -7x + 4

m = -7

  • Question 10

State the gradient of the line with equation:

 

y + 3 = 2x

CORRECT ANSWER
2
EDDIE SAYS

y = 2x -3

m = 2

---- OR ----

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