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Equation of the line

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

What is the slope of the line 𝑥+𝑦=3?

a)

-3

b)

-1

c)

1

d)

3

2.

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)

3.

What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦=2𝑥−4?

a)

𝑚 =2 𝑎𝑛𝑑 𝑏 = 4

b)

𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2

c)

𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4

d)

𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2

4.

What is the slope of a line if it contains the points (−2,3) 𝑎𝑛𝑑 (2,−3)?

a)

−3/2

b)

−2/3

c)

2/3

d)

3/2

5.

The line passes through the point (0,3) and has a slope of 2. What is the equation of a line in slope-intercept form?

a)

𝑦 = 1/2 𝑥

b)

2x + 𝑦 = 3

c)

2x−y=32x-y=3

d)

3𝑥 +y= 2

6.
Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?
a)

y = 4x - 4

b)

4x+y = - 4

c)

y = -4

d)

4x - y = 4

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.
Write the equation of a line that passes through the point (1,4) and has a slope of 9.
a)

y= 9x-4

b)

9x - y= -5

c)

9x + y=13

d)

9x - y= 5

9.

Find the equation of the line with x-intercept of 2 and y-intercept of -4. Express your answer in standard form.

(a)  

10.

Find the equation of the line whose slope of 3 and contains (3, -8) . Express your answer in standard form.

(a)  

11.

What is the slope of this equation? y= x + 3

a)

  12\frac{1}{2}  

b)

-2

c)

3

d)

1

12.

If slope is 3 and the y intercept is -5, what is the equation of the line?

(a)  

13.

Write the equation of the line in slope-intercept form.

a)

y = (-2/3)x + 4

b)

y = (2/3)x + 4

c)

y = (3/2)x + 4

d)

y = (-3/2)x + 4

14.

1. The slope-intercept form of is 5x+y=7 is y=-5x+7.

a)

True

b)

False

15.

What is the equation of the line in standard form if m= -12 and b=8?

a)

12x - y= 8

b)

8x - y=12

c)

12x - y= -8

d)

12x + y = 8

16.

What is the equation of the line containing the point (0,8) and a slope of - 23\frac{2}{3}  ?

a)

2x - 3y= 24

b)

2x + 3y= 24

c)

2x + y= 8

d)

3x + 2y = 16

17.

1. What equation has a slope of -6 and passes through (0,13)? Express your answer in standard form.

a)

6x+y = -13

b)

6x-y=13

c)

6x+y=13

d)

6x+y=-13

18.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
19.
Find the slope of the following two points (-10,13) and (-5,3)
a)
1/2
b)
-2
c)
2
d)
-1/2
20.
Write equation of the line containing (6,3) and (4,1)
a)

x +y = 5

b)

x - y = 3

c)

x + y = 5

d)

y = -1x + 3