Syllabus Edition

First teaching 2023

First exams 2025

|

Linear Graphs (CIE IGCSE Maths: Extended)

Exam Questions

2 hours36 questions
1
Sme Calculator
1 mark

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

Write down the gradient of line l.

Did this page help you?

2
Sme Calculator
1 mark

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

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

Did this page help you?

3a
Sme Calculator
1 mark

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

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

3b
Sme Calculator
1 mark

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

Did this page help you?

4
Sme Calculator
3 marks

The line L is shown on the grid.

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

Find an equation for L.

Did this page help you?

1
Sme Calculator
2 marks

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

Did this page help you?

2
Sme Calculator
3 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]

Did this page help you?

3
Sme Calculator
2 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..............................................

Did this page help you?

4
Sme Calculator
1 mark

Sketch the graph of the function.

y equals x minus 3



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

Did this page help you?

5
Sme Calculator
3 marks

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

Did this page help you?

6
Sme Calculator
2 marks

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

Did this page help you?

7
Sme Calculator
3 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.

Did this page help you?

8
Sme Calculator
3 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 = ...............................................

Did this page help you?

9a
Sme Calculator
2 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.

 

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

9b
Sme Calculator
3 marks

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

9c
Sme Calculator
1 mark

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

 

Write down the co-ordinates of D.

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

Did this page help you?

1
Sme Calculator
4 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 .................................................

Did this page help you?

2
Sme Calculator
2 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.

Did this page help you?

3a
Sme Calculator
6 marks

The diagram shows a straight line L.

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

Find the equation of line L.

3b
Sme Calculator
3 marks

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

Did this page help you?

4
Sme Calculator
2 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.

Did this page help you?

5
Sme Calculator
4 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 = ...............................................

Did this page help you?

6
Sme Calculator
3 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..............................................

Did this page help you?

7
Sme Calculator
3 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.

Did this page help you?

8a
Sme Calculator
4 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]

8b
Sme Calculator
3 marks

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

Did this page help you?

9
Sme Calculator
3 marks

cie-igcse-2018-oct-nov-p4-tz1-q8aC is the point (8, 14).

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

Did this page help you?