Linear Graphs y = mx + c (Edexcel GCSE Maths: Foundation)

Exam Questions

1 hour21 questions
1
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2 marks

Blank coordinate grid with x and y axes going from -6 to +6

On the grid,

i)
draw the line x equals 5
 
ii)
draw the line y equals negative 3

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2a
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2 marks

Complete the table of values for  y equals 3 x minus 2 

 

x negative 2 negative 1 0 1 2 3
y   negative 5       7

2b
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2 marks

On the grid, draw the graph of  y equals 3 x minus 2  for values of x from  negative 2 to 3.

Blank coordinate grid with x axis going from -2 to +4 and y axis going from -8 to +8

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3
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2 marks

Here are six straight line graphs.

Six straight line graphs

 

Match each equation in the table to the correct graph.
Write the letter of the graph in the table.

 

Equation Graph
y equals negative x  
y equals negative 3  
y equals x minus 3  

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4a
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1 mark

Write down the gradient of the line y equals 2 x minus 3.

4b
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2 marks

Complete the table of values for  y equals 2 x minus 3

x -2 0 3
y      

4c
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1 mark

On the grid, draw the graph of  y equals 2 x minus 3  for  negative 2 less-than or slanted equal to x less-than or slanted equal to 3.

qp9c-0580-12-paper-1-march-2020-cie-igcse-maths

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5a
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2 marks

The line L is shown on the grid.

qp20-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

Find the gradient of the line L.

5b
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1 mark

Find the equation of the line L in the form y space equals m x plus c.

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6a
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1 mark

For the line y space equals space 4 x space minus 6, write down

the gradient,

6b
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1 mark

the y-intercept.

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1
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3 marks

On the grid below, draw the graph of  y equals 5 minus 2 x  for values of x from negative 2 to 4.

Blank coordinate grid with x axis going from -2 to +4 and y axis going from -3 to +9

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2
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2 marks

Show that the point open parentheses 4 comma space 11 close parentheses lies on the line  y equals 3 x minus 1

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3
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2 marks

q20-0580-0980-w20-oct-nov-2020-cie-igcse-maths-1

Find the equation of line space L spacein the form y equals m x plus c.

y equals..........................

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4
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1 mark

qp16a-0580-12-paper-1-nov-2020-cie-igcse-maths

i)
Write down the coordinates of point A.
[1]
ii)
On the grid, plot the point (2, -3).
[1]
iii)
The line L is shown on the grid.

Find the equation of the line L in the form y equals m x plus c.

y equals...............................[2]

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5
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1 mark

Find the co-ordinates of the point where the line y space equals space 3 x minus space 8 crosses the y-axis.

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6
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3 marks

q8a-058032-march2019-cie-igcse-maths-core

Line L is drawn on the grid.

Find the equation of line L.
Give your answer in the form y equals m x plus c.

y space equals ............................. 

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7
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2 marks

A line, M, has the equation y equals 8 x plus 3.

Write down the equation of the line parallel to line M that passes through the point (0, 6).

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1a
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2 marks

Complete the table of values for  y equals 2 minus 3 over 2 x 
 

x negative 2 negative 1 0 1 2 3 4
y   3.5     negative 1   negative 4
1b
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2 marks

On the grid, draw the graph of  y equals 2 minus 3 over 2 x
 Blank coordinate grid with x axis going from -3 to +5 and y axis going from -6 to +6

1c
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1 mark

Use your graph to find the value of x when  y equals negative 3.4

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2
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1 mark

Write down the equation of the line parallel to y equals 5 x plus 6 that passes through (0, -7).

y equals..................................

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3a
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1 mark

A straight line, l, has equation y equals 5 x plus 12

Write down the gradient of line l.

3b
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2 marks

Find the coordinates of the point where line l crosses the x-axis.

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4a
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2 marks

qp22-0580-11-paper-1-may-2020-cie-igcse-maths

Find the equation of line L in the form y equals m x plus c

y = ..................................................

4b
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1 mark

On the grid, draw a line that is perpendicular to line L.

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5a
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3 marks

The line L is shown on the grid.

qp6-0580-31-paper-3-oct-nov-2019-cie-igcse-maths-1

Find the equation of the line L in the form y space equals m x plus c.

y = ................................................... 

5b
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2 marks

The equation of a different line is y equals 3 x minus 4.

i)
Write down the gradient of this line.
[1]
ii)
Write down the co-ordinates of the point where this line crosses the y˗axis.
[1]
5c
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3 marks

On the grid, draw the graph of y equals negative 2 x plus 1 for negative 4 less-than or slanted equal to x less-than or slanted equal to 5.

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6
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2 marks
i)
Write down the co-ordinates of the point where the line y equals 6 x minus 3 crosses the y-axis.
[1]
ii)
Write down the equation of the straight line that
  • passes through the origin

   and

  • is parallel to y equals 6 x minus 3.

[1]

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7a
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3 marks

q8a-058032-march2019-cie-igcse-maths-core

Line L is drawn on the grid.

Find the equation of line L.
Give your answer in the form y equals m x plus c.

y space equals ............................. 

7b
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4 marks

The points (9, a) and (b, 3) lie on the line y equals 2 over 3 x minus 7.

Work out the value of

i)
a,
a equals.......................... [2]
ii)
b.
b equals.......................... [2]

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8
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5 marks

A comma space B comma space C and D are four equations of straight line graphs.

q11a-058032-march2018-cie-igcse-maths-core

i)
Write down the letter of the graph that

a)
passes through the point open parentheses 1 comma negative 1 close parentheses,
[1]
b)
has a y- intercept of 4,
[1]
c)
has a gradient of -4.

[1]

ii)
The point open parentheses p comma space minus 26 close parentheses lies on the line y equals negative 3 x plus 4.

Work out the value of p.
p = ................................ [2]

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