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Equation of the line

Total questions: 25

Worksheet time: 23mins

Name
Class
Date
1.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

2x- 3y= 9

b)

2x+3y = -9

c)

3x-2y=6

d)

3x+2y=-6

2.

Given that the slope is and the y intercept is what is the equation of the line?

a)

2x+y=-3

b)

2x+y = -6

c)

x+y =6

d)

2x+y=6

3.

Write the equation of the line through the points (-6, -19) and (2, 5).

a)

7x=2y=12

b)

3x-y=11

c)

7x+4y=40

d)

3x-y=1

4.

Which line has the equation

y = x + 2

a)
b)
c)
d)
5.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
beans
c)
x-intercept
d)
slope
6.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
x-intercept
7.
Identify the slope and y intercept in the equation of the line: y = -1/3x + 1
a)
Slope: 1/3
y-intercept: 1
b)
Slope: 1/3
y-intercept: -1
c)
Slope: -1/3
y-intercept: 1
d)
Slope: -1/3
y-intercept: 0
8.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

4x-y= 13

b)

4x -y= -13

c)

4x -y = - 3

d)

4x +y = 3

9.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
10.
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
11.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
12.
Find the slope
a)
-3
b)
3
c)
1/3
d)
-1/3
13.
Write the equation of a line in slope intercept form.
m = -2/3
b = -4
a)
y = -4x - 2/3
b)
y = -2/3x - 4
14.

Write the equation of a line in slope intercept form.

m = 5

( -1, -6 )

a)

5x - y = 29

b)

5x - y = 1

c)

5x + y = -11

d)

5x - y = 11

15.

What is the y- intercept of the graph of y = -5x + 6

a)

5

b)

-5

c)

6

d)

-6

16.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
17.

Which equation represents the following graph?

a)

3x - y = - 2

b)

2x + y = 3

c)

2x -y = - 3

d)

3x +y = 2

18.

Which equation is being represented by this line?

a)

x + y = 2

b)

1/2x + y = 2

c)

3x - y = 4

d)

3x + y = 2

19.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

8x +y = -3

d)

y = -3x + 8

20.

Find the equation that represents the line going through (0, 2) and (-4, 0).

a)

y = 1/2 x - 4

b)

x - 2y = - 4

c)

2x - y = 2

d)

2x + y = - 4

21.

What is the slope of the line 𝑥+𝑦=3?

a)

-3

b)

-1

c)

1

d)

3

22.

What is the 𝑦−𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 of the line 2𝑥+3𝑦=−15?

a)

-5

b)

-2

c)

-2/3

d)

3

23.

Which of the following pair of points have a slope of −2?

a)

(2,4) 𝑎𝑛𝑑 (5,−2)

b)

(4,2) 𝑎𝑛𝑑 (−2,5)

c)

(2 ,5) 𝑎𝑛𝑑 (4,−2)

d)

(−2,2) 𝑎𝑛𝑑 (4,5)

24.

Find the equation of the straight line with slope  -7  and y-intercept  4 .

a)

 4xy=74x-y=7  

b)

 7x+y=47x+y=4  

c)

 x4y=7x-4y=-7  

d)

 x+7y=4x+7y=4  

25.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

x+2y=6x+2y=6

b)

x+2y=9x+2y=9

c)

x+14y=12x+14y=-12

d)

x+14y=18x+14y=-18