Topics
4. Linear Equations and Inequalitites
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United States of AmericaFL
Grade 8

4.07 Describing the slope of a line

Lesson
Worksheet
Practice
Worksheet
Slope of a line
1

State whether the following lines have a positive, negative, zero or undefined slope:

a
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
b
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
c
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
d
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
2

Explain what it means if the slope of a line is:

a

Undefined

b

Zero

3

For each of the following graphs, determine whether the the slope is zero, undefined, or neither:

a
-8
-6
-4
-2
2
4
x
-8
-6
-4
-2
2
4
6
8
y
b
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
c
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
d
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
e
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
f
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
g
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
h
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
4

Consider the line segments on the graph:

a

Determine the slope of \overline{AB}.

b

Determine the slope of \overline{BC}.

-2
-1
1
2
3
4
5
6
7
x
-2
-1
1
2
3
4
5
6
7
y
5

Consider the nearly vertical line that has been graphed on the coordinate plane:

Which one of the following is most likely to be its slope?

A

5

B

55

C

Undefined

D

0.55

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
6

Consider the nearly horizontal line that has been graphed on the coordinate plane:

Which one of the following is most likely to be its slope?

A

0.33

B

0.03

C

3

D

0.3

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
7

Consider the nearly horizontal line that has been graphed on the coordinate plane:

Which one of the following is most likely to be its slope?

A

-0.04

B

-0.4

C

-4

D

-44

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
8

Consider the nearly vertical line that has been graphed on the coordinate plane:

Which one of the following is most likely to be its slope?

A

2.8

B

-2.8

C

28

D

-28

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
9

State whether the slope of the following lines are positive or negative:

a

A line crosses the x-axis at - 7, and crosses the y-axis at 5.

b

A line crosses the x-axis at 10, and crosses the y-axis at 8.

c

A line crosses the x-axis at -4, and crosses the y-axis at -4.

d

A line crosses the x-axis at 6, and crosses the y-axis at -3.

e

A line passes through origin and the point \left( 2, -6\right).

f

A line passes through origin and the point \left( -1, -4\right).

g

A line passes through points \left( 0, -1\right) and \left( 6, 2 \right).

h

A line passes through points \left( -3, -1\right) and \left( -5, 1 \right).

10

State whether the line segments with end points at the following pairs of coordinates will have a defined slope:

a

\left(10, 7\right) and \left(10, 2\right)

b

\left(10, - 2 \right) and \left( - 10 , - 2 \right)

c

\left( - 10 , 7\right) and \left( - 10 , 12\right)

d

\left( - 10 , 7\right) and \left(10, 7\right)

e

\left( 2 , -9\right) and \left(-2, -9\right)

f

\left( -2 , 1\right) and \left(-2, 14\right)

g

\left( 2 , 1\right) and \left(2, 9\right)

h

\left( -2 , 1\right) and \left(2, 1\right)

11

State the slope of any line parallel to the x-axis.

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Outcomes

MA.8.AR.3.2

Given a table, graph or written description of a linear relationship, determine the slope.

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