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Worksheets

Line equations and gradients

Total questions: 20

Worksheet time: 13mins

Name
Class
Date
1.

What is the gradient of

 y=x+4y=-x+4  

a)

4

b)

1

c)

-4

d)

-1

2.

What is the gradient of

 4xy=54x-y=5  

a)

5

b)

4

c)

-4

d)

-1

3.

What is the gradient of

 3x3y=9-3x-3y=9  

a)

-3

b)

3

c)

1

d)

-1

4.

What is the gradient of

 2y=8x+32y=-8x+3  

a)

-8

b)

3

c)

2

d)

-4

5.

What is the gradient of

 3y2x=43y-2x=4  

a)

2

b)

-2

c)

 23\frac{2}{3}  

d)

 43\frac{4}{3}  

6.

What is the gradient of

 3y2x=43y-2x=4  

a)

 23\frac{2}{3}  

b)

2

c)

-2

d)

 43\frac{4}{3}  

7.

A line make

 45°45\degree  angle with the x-axis. What is the gradient of this line?

a)

-1

b)

1

c)

-2

d)

2

8.

A line make

 300°300\degree  angle with the x-axis. What is the gradient of this line?

a)

-3

b)

3

c)

 3\sqrt{3}  

d)

 3-\sqrt{3}  

9.

A line make

 225°225\degree  angle with the x-axis. What is the gradient of this line?

a)

-1

b)

1

c)

-3

d)

3

10.

What is the relationship between

 y=2x5y=2x-5  and  y=2x+9y=2x+9  

a)

Parallel 

b)

Perpendicular 

c)

Non parallel

11.

What is the relationship between  3xy=73x-y=7  and  y=3x+4y=3x+4  

a)

Parallel

b)

Perpendicular

c)

Non parallel

12.

What is the relationship between  2x+y=92x+y=9  and  y=2x+6y=-2x+6  ?

a)

Parallel

b)

Perpendicular

c)

Non parallel

13.

What is the relationship between 3yx=73y-x=7  and  y=3x5y=3x-5  ?


a)

Parallel

b)

Perpendicular

c)

Non parallel

14.

What is the relationship between 4x+y=104x+y=10 and  4y=x+24y=x+2  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

15.

What is the relationship between 2x8=y2x-8=y and  12x+3=y-\frac{1}{2}x+3=y  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

16.

What is the relationship between 3xy=63x-y=6 and  4y=2x+104y=2x+10  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

17.

What is the relationship between 2y=x+72y=x+7 and  4x+2y12=04x+2y-12=0  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

18.

What is the relationship between x+y+9=0x+y+9=0 and  yx7=0y-x-7=0  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

19.

What is the relationship between 2x+2y=302x+2y=30 and  3y6x9=03y-6x-9=0  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel

20.

What is the relationship between 4x+8y12=04x+8y-12=0 and  14=2y+x14=2y+x  ? 

a)

Parallel

b)

Perpendicular

c)

Non parallel