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Understanding/Writing Equations in Slope-Intercept Form

Total questions: 20

Worksheet time: 28mins

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)
y = 2/3x - 3
b)
y = 2/3x + 3
c)
y = -2/3x - 3
d)
y = -2/3x + 3
2.
Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?
a)
y = 4x - 4
b)
y = -4x - 4
c)
y = -4
d)
y = -4x + 4
3.
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
4.
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
5.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
6.

Which equation shows a slope of -2 and the y-intercept of 3?

a)

y = -2x - 3

b)

y = -2x + 3

c)

y = 3x - 2

d)

y = 3x + 2

7.

What is the equation of a line with m = 6/5 and b = -5?

a)

y = 6/5x - 5

b)

y = 6/5x + 5

c)

y = -5x + 6/5

d)

y = 5x - 6/5

8.

What is the equation of a line with m = -1 and b = 1/5

a)

y = -x + 1/5

b)

y = 1/5x - 1

c)

y = 1/5x + 1

d)

y = x + 1/5

9.

What is the equation of a line with m = 0 and b = 6

a)

y = 6

b)

y = 6x

c)

y = 0

d)

y = x

10.

What is the equation of a line with

m = 1/2 and b = -3

a)

y = 1/2 x - 3

b)

y = -1/2 x - 3

c)

y = 1/2 x + 3

d)

y = -1/2 x - 3

11.

What is the equation of a line with a slope of 1 and a y intercept of 0

a)

y = x

b)

y = -x

c)

y = 1

d)

y = -1

12.

What are the slope and y-intercept of the following equation:

y = -x +1

a)

m = -1

b = 1

b)

m = 1

b = -1

c)

m = -1

b = -1

d)

m = 1

b = 1

13.

What are the slope and y-intercepts of the following equation:

 y = 15x + 3y\ =\ \frac{1}{5}x\ +\ 3 

a)

m = 1/5
b = 3

b)

m = -1/5
b = -3

c)

m = 1/5
b = -3

d)

m = -1/5
b = 3

14.

Write the equation for a line with a slope of 2 and a y-intercept of -7

a)

y = 2x - 7

b)

y = -7x + 2

c)

y = -2x + 7

d)

y = 7x - 2

15.

Write the equation of the line with a slope of -4/5 and a y-intercept of 1/5

a)

y=45x+15y=-\frac{4}{5}x+\frac{1}{5}

b)

y=45x15y=\frac{4}{5}x-\frac{1}{5}

c)

y=15x45y=\frac{1}{5}x-\frac{4}{5}

d)

y=15x+45y=-\frac{1}{5}x+\frac{4}{5}

16.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
17.

What is the slope in the equation

y=x+3y=-x+3  

a)

-1

b)
3
c)
5
d)
Cannot be Determined 
18.

Which equation has a negative slope and a positive y-intercept?

a)

y = -2x + 1/2

b)

y = 4x - 4

c)

y = 1/2x + 5

d)

y = 2x

19.

Which equation has a positive slope and a negative y-intercept?

a)

y = - 2x + 6

b)

y = 0.5x + 8

c)

y = 4/3x - 12

d)

y = - 6x - 16

20.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  3  y-intercept:  (0,3/2)
d)
slope: 3/2   y-intercept:  (0,5)