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Slope Review

Total questions: 40

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

m= 5


(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

2.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
3.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

4.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

5.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
6.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
7.

Identify the type of slope

a)

positive

b)

negative

c)

undefined

d)

zero

8.

Identify the type of slope

a)

positive

b)

negative

c)

undefined

d)

zero

9.

Identify the type of slope

a)

positive

b)

negative

c)

undefined

d)

zero

10.

Find the slope of the graph. ( Slopes must be written as a fraction and simplified if possible)

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

11.

Find the slope of the graph. ( Slopes must be written as a fraction and simplified if possible)

a)

3/4

b)

-3/4

c)

-4/3

d)

4/3

12.

Calculate the slope of a line that passes through these points. (1,3)(-1,7)

a)

-2

b)

2

c)

-5

d)

-1/2

13.

Calculate the slope of a line that passes through these points. (2,0)(7,3)

a)

1/3

b)

3/5

c)

5/3

d)

5

14.

Write the equation of the line parallel to 6x + 3y = 9.

a)

y = 2x + 3

b)

y = 1/2x + 3

c)

y = 6x + 9

d)

y = -2x + 5

15.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
16.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
17.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
18.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
19.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
20.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
21.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
22.

Find the slope and y-intercept of the following:

3x - y = 9

a)
Slope = 3, y-intercept = -9
b)
Slope = 9, y-intercept = 3
c)
Slope = 3, y-intercept = 9
d)
Slope = -1, y-intercept = 3
23.

Find the slope and y-intercept:

6x + -2y = 18

a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
24.

What is the slope:

5x + 10y  = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

25.

Convert the standard form equation into slope-intercept form.

6x - 7y = -35

a)

y=76x5y=\frac{7}{6}x-5

b)

y=67x+5y=\frac{6}{7}x+5

c)

y=57x6y=\frac{5}{7}x-6

d)

y=67x5y=-\frac{6}{7}x-5

26.

Which line is parallel to the line:  5x+6y=125x+6y=12  

a)

y=56x2y=-\frac{5}{6}x-2  

b)

y=56x+13y=\frac{5}{6}x+13  

c)

y=5x+11y=5x+11  

d)

y=5x100y=-5x-100  

27.

Which line is perpendicular to the line:  5x+6y=125x+6y=12  

a)

y=56x2y=-\frac{5}{6}x-2  

b)

y=56x+13y=\frac{5}{6}x+13  

c)

y=65x+11y=\frac{6}{5}x+11  

d)

y=65x100y=-\frac{6}{5}x-100  

28.
Write 3x-2y=2 in slope intercept form. 
a)
y = 3/2x - 1
b)
y = -3/2x - 1
c)
y = 3/2x + 1
d)
y = -3/2x + 1
29.

What is the slope of the line represented by the equation:

- 4x+2y=8

a)

2

b)

-2

c)

1/2

d)

-1/2

30.

Find the y-intercept of the line given by the equation:

y = -3x + 6

a)

6

b)

-3

c)

3

d)

-6

31.

Which equation represents a line that is perpendicular to the line represented by:

y = -1/2x + 3

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = -2x + 3

d)

y = -1/2x - 3

32.

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

33.

What is the slope of the line that passes through the points (-3, -7) and (4, 2)?

a)

9/7

b)

7/9

c)

-7/9

d)

1.29

34.

Which equation represents a line parallel to the line represented by:

y = 3x - 5

a)

y = 3x + 2

b)

y = -1/3x + 5

c)

y = 1/3x - 5

d)

y = -3x + 4

35.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
36.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
37.

Which of these represents standard form of a linear equation?

a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
38.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
39.
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
40.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept