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Gradient between two coordinates

Total questions: 35

Worksheet time: 47mins

Name
Class
Date
1.

Find the gradient of the line that passes through the points (2,-2) and (4,8).

a)

Gradient=5

b)

Gradient=4

c)

Graduent=10

d)

Gradient=2

2.

Find the gradient of the line passing through the points (3,-5) and (7,11).

a)

Gradient=3

b)

Gradient=7

c)

Gradient=16

d)

Gradient=4

3.

Find the gradient of the line that passes through (3,4) and (2,2).

a)

Gradient=-2

b)

Gradient=4

c)

Gradient=2

d)

Gradient=3

4.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
5.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
a)
undefined
b)
0
c)
- 14/10
d)
10/14
6.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
7.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
8.
Find the slope of the line that passes through:
(-12, -5) and (0, -8)
a)
1/4
b)
-1/4
c)
4
d)
-4
9.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
10.

Calculate the gradient of a straight line that passes through the following pairs of points :

A (4, 5) and B (3, 2)

a)

m = 31m\ =\ \frac{3}{1}

b)

m = 13m\ =\ \frac{1}{3}

c)

m = 3m\ =\ 3

d)

m = 3m\ =-\ 3

11.
The gradient of horizontal line is .........
a)
Always zero
b)
undefined
c)
Always positive 
d)
Always negative
12.

Calculate the gradient for the straight line which passes through points (4,10) and (6,14)

a)

2/5

b)

2

c)

1/2

d)

5/2

13.

The gradient of the line joining (3,8) and (2k, 5) is 2/3. Calculate the value of k.

a)

2/3

b)

3/2

c)

-3/2

d)

-3/4

14.

Find the gradient between these two points A(2, 4) B(6, 4)

a)

4

b)

-4

c)

0

d)

0.5

15.

P is the point (−2,3) and Q is the point (4,15). Find the gradient of the straight line PQ.

a)

2-2

b)

12-\frac{1}{2}

c)

12\frac{1}{2}

d)

22

16.

Find the gradient of the line joining the two coordinates...

a)

1

b)

-1

c)

1.5

d)

4

17.

Find the gradient of the line joining the two coordinates...

a)

1

b)

2

c)

1.5

d)

3.5

18.

Find the gradient of the line joining the two coordinates...

a)

1

b)

2

c)

1.5

d)

3.5

19.

Find the gradient of the line joining the two coordinates...

a)

4

b)

2

c)

10.5

d)

5

20.

Find the gradient of the line joining the two coordinates...

a)

4

b)

4.5

c)

5.5

d)

5

21.

Find the gradient of the line joining the two coordinates...

a)

-3

b)

3

c)

-2

d)

2

22.

Find the gradient of the line joining the two coordinates...

a)

-0.5

b)

0.5

c)

-2

d)

2

23.

Given that C(-1, -4) and D(-7, 2), find the gradient of the line CD.

a)

-1/4

b)

-1

c)

0

d)

1

24.

Find the gradient of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

25.

The gradient of the x - axis is

a)

Not defined

b)

Zero

c)

Negative

d)

1-1

26.

Find the gradient of the line that passes through

(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

27.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

28.

Coordinates of origin point is?

a)

O(1, 1)

b)

O(2, 2)

c)

O(0,0)

d)

O(3,0)

29.

When the line is vertical, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

30.

What is the definition of Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

31.

Given A ( 4, -1) and B ( -2, -6).

Find the gradient of line AB.

a)

65\frac{6}{5}

b)

65-\frac{6}{5}

c)

56\frac{5}{6}

d)

56-\frac{5}{6}

32.

Given A ( 5, 2 ) and B ( 1, 10 ).

Find the gradient of line AB.

a)

22

b)

2-2  

c)

12\frac{1}{2}  

d)

12-\frac{1}{2}  

33.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
a)
undefined
b)
0
c)
- 14/10
d)
10/14
34.

The axes divide the coordinate plane into four sections called what?

a)

ordered pairs

b)

quadrants

c)

origins

d)

coordinate plane

35.

Find the gradient between these two points A(2, 4) B(6, 4)

a)

4

b)

-4

c)

0

d)

0.5