

































Q1)

Find the gradient of the line through the following
pairs of points:

























a)

A = ( 2, 4 )
B = ( 6 , 10 )







2

4

6

10


b)

A = ( –2, 4 )
B = ( 6 , 10 )







2

4

6

10


c)

A = ( –2, –4 )
B = ( 6 , 10 )







2

4

6

10


d)

A = ( –2, 4 )
B = ( –6 , 10 )







2

4

6

10


e)

A = ( 2, 4 )
B = ( 6 , –10 )







2

4

6

10


f)

A = ( 2, –4 )
B = ( 6 , –10 )







2

4

6

10


g)

A = ( –1, 10 )
B = ( 4 , –10 )







1

10

4

10


h)

A = ( 4, 2 )
B = ( 6 , – 8)







4

2

6

8


i)

A = ( –4, –8 )
B = ( 4 , 8 )







4

8

4

8


j)

A = ( 3, 1 )
B = ( 12 , 37 )







3

1

12

37


k)

A = ( –4,
20 ) B = ( 2 , –15 )







4

20

2

15


















Q2)

A line has gradient 3 and passes through the point ( 4, 8 )


3

4

8

c



Find another point which
lies on the line:

x =


y =



























A line has gradient –3 and passes through the point ( –4,
–8 )


3

4

8

c



Find another point which
lies on the line:

x =


y =


























Q3)

A line has gradient 4 and passes through the points ( 2,
3 ) and ( 6, y ).


4

2

3

6



























y =



























A line has gradient 6 and passes through the points ( x,
3 ) and ( 6, 12 ).


6

3

6

12



























x =


























Q4)

The line joining the points A =
( 0, 2 ) and B = ( 10 ,
7 ) is shown in








the plot below.

























Gradient of line AB =












0

2
















10

7









































































































































































































































































































































































































Next, choose two new points, C and D so
that the lines AB and CD meet








at right angles.

























C

x

y

D

x

y

Check:











































Gradient of line CD =






























