Revision NotesExam QuestionsFlashcardsPast PapersMock Exams
IGCSEMathsCambridge (CIE)ExtendedExam QuestionsCoordinate Geometry & GraphsLinear Graphs

Linear Graphs (Cambridge (CIE) IGCSE Maths: Extended): Exam Questions

Exam code: 0580 & 0980

2 hours36 questions

Select a download format for Linear Graphs

Scroll for more

Select an answer set to view for
Linear Graphs

Easy
Medium
Hard
11 mark

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

Write down the gradient of line l.

How did you do?

21 mark

The line space y equals 3 x minus 2 space crosses the y-axis at G.  

Write down the coordinates of G.  

( ...................... , ...................... )

How did you do?

3a1 mark

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

(........................ , ........................)

How did you do?

3b1 mark

Write down the gradient of the line y equals 3 x minus 8.

How did you do?

43 marks

The line L is shown on the grid.

q5-2-13-easy-cie-igcse-maths-extended

Find an equation for L.

How did you do?

1
Sme Calculator2 marks

Find the gradient of a line that is perpendicular to 8 y space plus space 4 x space equals space 5.

How did you do?

2
Sme Calculator3 marks

The equation of line L is space 3 x minus 8 y plus 20 equals 0.

i) Find the gradient of line L.  

[2]

ii) Find the coordinates of the point where line L cuts the y-axis.  

( ................... , ................... ) [1]

How did you do?

3
Sme Calculator2 marks

Write down the function shown in the graph.

cie-igcse-2020-may-jun-p4-tz3-q10ai

 

straight f open parentheses x close parentheses equals..............................................

How did you do?

41 mark

Sketch the graph of the function.

y equals x minus 3

cie-igcse-2020-march-p2-tz2-q10a-b

How did you do?

5
Sme Calculator3 marks

Show that the line  4 y equals 5 x minus 10  is perpendicular to the line  5 y plus 4 x equals 35.

How did you do?

6
Sme Calculator2 marks

Find the gradient of the line that is perpendicular to the line  2 y equals 3 plus 5 x.

How did you do?

7
Sme Calculator3 marks

Line L passes through the points left parenthesis 0 comma negative 3 right parenthesis and left parenthesis 6 comma 9 right parenthesis.

Find the equation of line L.

How did you do?

8
Sme Calculator3 marks
cie-igcse-2018-oct-nov-p4-tz1-q8a

 

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

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

How did you do?

9a
Sme Calculator2 marks
cie-igcse-2018-oct-nov-p4-tz3-q1b

B is the  mid-point of the line A C.  

Find the co-ordinates of C.

 

( ........................ , ....................... )

How did you do?

9b
Sme Calculator3 marks

Find the equation of the straight line that passes through A and B.

How did you do?

9c
Sme Calculator1 mark

The straight line that passes through Aand B cuts the y-axis at D.

 Write down the co-ordinates of D.

( ........................ , ....................... )

How did you do?

1
Sme Calculator4 marks

A is the point left parenthesis 3 comma space 5 right parenthesis and B is the point left parenthesis 1 comma space minus 7 right parenthesis.
Find the equation of the line perpendicular to A B that passes through the point A.
Give your answer in the form y equals m x plus c.

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

How did you do?

2
Sme Calculator2 marks

Find the equation of the line that is perpendicular to the line y equals 2 x minus 3 and passes through the point left parenthesis 0 comma space 2 right parenthesis.

How did you do?

3a
Sme Calculator6 marks

The diagram shows a straight line L.

cie-igcse-2019-may-jun-p4-tz2-q4b

Find the equation of line L.

How did you do?

3b
Sme Calculator3 marks

Find the equation of the line perpendicular to line L that passes through left parenthesis 9 comma 3 right parenthesis.

How did you do?

4
Sme Calculator2 marks
cie-igcse-2018-oct-nov-p4-tz1-q8a

Write down the equation of the line parallel to line l that passes through the point B.

How did you do?

5
Sme Calculator4 marks
cie-igcse-2018-oct-nov-p2-tz2-q17

The diagram shows the points C(–1, 2) and D(9, 7).

Find the equation of the line perpendicular to CD that passes through the point (1, 3).

Give your answer in the form  y equals m x plus c.  

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

How did you do?

6
Sme Calculator3 marks

The line PQ has equation y equals 3 x minus 8 and point P has co-ordinates (6, 10).

Find the equation of the line that passes through P and is perpendicular to PQ.
Give your answer in the form y equals m x plus c.

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

How did you do?

7
Sme Calculator3 marks

Find the equation of the straight line that is perpendicular to the line  y equals 1 half x plus 1  and passes through the point left parenthesis 1 comma space 3 right parenthesis.

How did you do?

8a
Sme Calculator4 marks

The point P has co-ordinates open parentheses 10 comma space 12 close parentheses and the point Q has co-ordinates open parentheses 2 comma negative 4 close parentheses.   Find

i) the co-ordinates of the mid-point of the line PQ,  

(....................... , .......................) [2]

ii) the gradient of the line PQ,  

 [2]

How did you do?

8b
Sme Calculator3 marks

Find the equation of a line perpendicular to PQ that passes through the point open parentheses 2 comma space 3 close parentheses.

How did you do?

9
Sme Calculator3 marks
cie-igcse-2018-oct-nov-p4-tz1-q8a

C is the point (8, 14).

Write down the equation of the line perpendicular to line l that passes through the point C.

How did you do?