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The Equation of a Straight Line

Total questions: 45

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Which is the correct equation of a straight line?

a)

y = cx + m

b)

y = mc + x

c)

y = mx + c

d)

x = ym + c

2.

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.

3.

What is the gradient of this line?

a)

2

b)

-2

c)

1/2

d)

-1/2

4.

The equation of a straight line is in the form of _________________ .

a)

y = x

b)

y = mx

c)

y = mx + c

d)

y = mx + mc

5.

In y = mx + c, what does m represent?

a)

the amount of money

b)

the value of x

c)

the mountain

d)

the steepness of a line (gradient)

6.

In y = mx + c, what does the c represent?

a)

the amount of cents

b)

the constant c, represents the x-intercept

c)

the constant c, represents the y-intercept

d)

the gradient of the line

7.

What is y-intercept?

a)

the x-coordinate of the point where the line cuts the x-axis

b)

the x-coordinate of the point where the line cuts the y-axis

c)

the y-coordinate of the point where the line cuts the x-axis

d)

the y-coordinate of the point where the line cuts the y-axis

8.
y = 2x + 3
What is the Y intercept
a)
2x
b)
-3
c)
+3
9.
y = 2x + 3
What is the gradient
a)
2x
b)
2
c)
+3
10.
Another name for gradient is
a)
Y axis
b)
x axis
c)
slope
11.
Which of these lines has a negative gradient?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
12.
The point A on the line
y = 3x - 7
has an x co-ordinate of 4.
What is the y co-ordinate of A?
a)
-4
b)
5
c)
0
d)
4
13.
Which is the graph of y = -x + 2?
a)
A
b)
B
c)
C
d)
D
14.
What is the y-intercept of the line
y = 4x - 6?
a)
4
b)
4x
c)
6
d)
-6
15.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
16.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
17.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
18.
Which equation matches the graph? 
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
19.

Give the y-intercept
a)
(2,0)
b)
(-2,0)
c)
(0,-2)
d)
there is no y-intercept
20.
What is the co-ordinate for point T?
a)
(3, 3)
b)
(3, -3)
c)
(-3, -3)
d)
(- 3, 3)
21.

What is the y-intercept of the line y = 3x - 4

a)

3

b)

4

c)

-4

d)

13-\frac{1}{3}

22.

What is the gradient of the line y = -4x + 1?

a)

-4

b)

4

c)

-1

d)

1

23.

What is the y-intercept of the line y = 5x - 10?

a)

10

b)

5

c)

-10

d)

-5

24.

In the line y = 7x - 2, what is the number 7?

a)

x-coordinate

b)

y-coordinate

c)

gradient

d)

y-intercept

25.

In the equation of the line y = 4x + 5, what does the 5 represent?

a)

x-coordinate

b)

gradient

c)

y-intercept

d)

slope

26.

Which of these lines would be the steepest?

a)

y = 2x + 4

b)

y = 3x + 3

c)

y = 7x + 2

d)

y = 4x + 9

27.

What is 3y = 6x + 3 in the form y = mx + c?

a)

y = 2x + 1

b)

3y = 2x + 1

c)

y = 6x + 3

d)

y = 6x

28.

What would 2y = 4x + 6 be in the form y = mx + c?

a)

y = 4x + 6

b)

2y = 2x + 3

c)

y = 2x + 3

d)

y = 4x + 4

29.

What is the line 5y = -10x + 15 in the form y = mx + c?

a)

y = -10x + 15

b)

y = 2x + 3

c)

y = -2x + 3

d)

y = 10x + 10

30.

What is the line y - 5x = 2 in the form y = mx + c?

a)

y = 2 - 5x

b)

y = 5x + 2

c)

y = -5x + 2

d)

y = 2x + 5

31.

y=7x+1y=7x+1  & y=7x+22y=7x+22  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

32.

Type the gradient of a line that would be parallel to

y=57x+1y=-\frac{5}{7}x+1  

(a)  

33.

y=29x1y=\frac{2}{9}x-1  & y=92x1y=\frac{9}{2}x-1  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

34.

y=54xy=\frac{5}{4}x  & y=45x+3y=-\frac{4}{5}x+3  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

35.

y=3x+7y=3x+7  & y=13x+7y=-\frac{1}{3}x+7  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

36.

y=4x+3y=4x+3  & y=4x+3y=-4x+3  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

37.

y=25x6y=\frac{2}{5}x-6  & y=52x+6y=-\frac{5}{2}x+6  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

38.

y=211x10y=\frac{2}{11}x-10  & 2x11y=442x-11y=44  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

39.

y=8xy=8x  & y=x8y=\frac{-x}{8}  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

40.

y=xy=x  & y=xy=-x  

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

41.

Type the gradient of a line that would be perpendicular to

y=5x+2y=-5x+2  

(a)  

42.

Type the gradient of a line that would be perpendicular to

y=2x+5y=2x+5  

(a)  

43.

Type the gradient of a line that would be parallel to

y=5x+5y=5x+5  

(a)  

44.

Type the gradient of a line that would be parallel to

2x4y=162x-4y=16  

(a)  

45.

Type the gradient of a line that would be perpendicular to

y=57x+1y=-\frac{5}{7}x+1  

(a)