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Linear Graphing Exam

Total questions: 50

Worksheet time: 3hrs 49mins

Name
Class
Date
1.

Find the gradient of the line joining the points (3 , 5) and (5 , 13).

(a)  

2.

Find the equation of the straight line y = mx + c that has a gradient of 6 and passes through the point (2 , 16).

(a)  

3.

If the y-intercept of of a straight line is 10 and the line passes through the point (2 , 4) then the equation of the line is:

(a)  

4.

The equation of the line passing through the points (2 , 1) and (5 , 10) is:

(a)  

5.

The equation of the straight line passing through the point (5 , 2) with gradient -3 is:

a)

y=3x+11

b)

y=-3x-11

c)

y=-3x+11

d)

y=3x-11

6.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
7.

What is the gradient of the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

8.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
9.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
10.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
11.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
12.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
13.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
14.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
15.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
16.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x + 2
b)
y = 1/4x + 2
c)
y = 1x + 4
d)
y = 4x + 2
17.

What is the x-intercept of the following graph?

a)

0

b)

6

c)

-4

d)

2/3

18.
Which equation represents the graph?
a)
y = 3x + 15
b)
y = 1/5 x + 15
c)
y = -1/5 x + 3
d)
y = 15x + 3
19.
Name the x- and y-intercepts for the equation:
2x - y = 6
a)
(0, 3) and (-6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, -6)
d)
(-3, 0) and (0, -6)
20.

What is the y- intercept of the graph of 3x+4y=24

a)

(0,8)

b)

(0,-8)

c)

(0,6)

d)

(0,-6)

21.
Graph 2x - 4 = y
a)
A
b)
B
c)
C
d)
D
22.
What is the slope intercept form of this equation? 
3x - 4y = 24
a)
y = 3/4 x + 6
b)
y = 3/4 x - 6
c)
y = -3/4x + 6
d)
y = -3/4x - 6
23.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
24.
Which graph represents the equation             y= 3x+2? 
a)
A
b)
B
c)
C
d)
D
25.
Find the slope of the line that passes through
(19, -2) and (-11, 10)
a)
-2/5
b)
2/5
c)
5/2
d)
-5/2
26.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
27.
Give the slope and y-intercept
6x - 3y = -9
a)
slope is 6 
y-intercept is 9
b)
m=2
b=3
c)
slope is 2
y-intercept is -3
d)
m = 3
b = 2
28.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
29.
What is the function of the table?
a)
y=3x+1
b)
y=4x-2
c)
y=x+1
d)
y=x+7
30.
 A line has an equation of y = - 3x + 8.  What is the y-intercept of the line?  Please enter your answer as a coordinate (x, y).
a)
(0, -3)
b)
(0, 3)
c)
(0, -8)
d)
(0, 8)
31.
What does "m" represent in
y = mx + c?
a)
y-intercept
b)
gradient
c)
x-coordinate
d)
y-coordinate
32.
What does "c" represent in
y = mx + c?
a)
y-intercept
b)
x-coordinate
c)
x-intercept
d)
gradient
33.
Write the equation for this graph? 
a)
y = - 10x + 60
b)
y = - 5x + 60
c)
y = - 1/x + 60
d)
y = - x + 60
34.
Write the equation of a line where the gradient is 0 and the y-intercept is 8.
a)
y = 8x
b)
x = 8
c)
y = 8
d)
y = x + 8
35.
Which equation represents the
values of the ordered pairs
below?

x:  -1   0  1  2   3
y:  -1   1  3  5   7
a)
y = x - 1
b)
y = 2x + 1
c)
y = x + 2
d)
y = x + 1
36.

Write the linear equation that is solved by both (−6, 2) and (0, 4):

a)

y = (1/3)x + 4

b)

y = (-1/3)x + 4

c)

y = -3x + 4

d)

y = 3x + 4

37.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

38.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

39.
Write equation of the line containing (-3,4) and (-1,-2)
a)
y = -3x - 5
b)
y = -3x + 1
c)
y = -3x + 13
d)
y = 3x + 1
40.

What is the slope of these two points (-6,3) and (12,-3)?

a)

1

b)

3

c)

-3

d)

13-\frac{1}{3}

41.

What is the slope of the line?

a)

34\frac{3}{4}

b)

-3

c)

4

d)

43\frac{4}{3}

42.

What is the slope of the line?

a)

-1

b)

0

c)

1

43.

What is the slope and y-intercept represented in the table?

a)

slope: 12\frac{1}{2} , y-intercept: 7

b)

slope: 22 , y-intercept: 7

c)

slope: 12-\frac{1}{2} , y-intercept: 0

d)

slope: 2-2 , y-intercept: 0

44.

What is the Slope and y-intercept represented in this table?

a)

slope: 14-\frac{1}{4} , y-intercept: -20

b)

slope: 4-4 , y-intercept: -17

c)

slope: 14\frac{1}{4} , y-intercept: 0

d)

slope: 44 , y-intercept: -21

45.
x = -6 is a ___________ line
a)
vertical 
b)
horizontal
46.
y = 8 is a ____________ line
a)
vertical
b)
horizontal
47.
What is the equation of the graph?
a)
y = - 3
b)
x = -3
48.
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
49.

Find the slope of the line.

a)

-2

b)

-1/2

c)

2

d)

1/2

50.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1