The document is a student success sheet (SSS) for Chapter 5 in Algebra 1. It provides guidance on graphing and writing equations of lines. The SSS outlines 7 concepts for students to learn, including graphing lines from tables, verifying points on lines, identifying parts of lines, writing equations, and graphing different forms of lines. It includes examples and practice problems for students to complete to reinforce their understanding.

1. Chapter
5
Student
Success
Sheet
(SSS)
Graphing
and
Writing
Equations
of
Lines
DeQuincy
High
School
Algebra
1
Name:
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be
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in
your
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folder.
Hour:
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Concept
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Assignment
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assistance
or
visit
Mr.
Clark’s
John
Wooden
Blackboard
site
for
tutorial
videos.
Concept
#
What
Will
I
Be
Learning…
Mandatory
Practice
1
Graphing
with
a
table
by
plugging
in
points.
None
2
Verifying
a
point
lies
on
a
line
or
is
a
solution
to
the
equation.
None
Textbook
page
275
#14-­‐24
3
Identifying
parts
of
a
line
(slope
and
y-­‐intercept).
Workbook
page
36
#1-­‐7
Writing
equations
and
graphing
lines
given
a
point
and
the
Textbook
page
284
#11-­‐20
4
Workbook
page
37
#1-­‐6
slope.
Textbook
page
284
#21-­‐29
5
Writing
equations
and
graphing
lines
given
two
points.
Workbook
page
37
#7-­‐15
6
Graphing
lines
given
slope-­‐intercept
form.
None
7
Finding
x-­‐
and
y-­‐intercepts
of
a
line
in
standard
form.
None
8
Graphing
lines
given
standard
form.
Workbook
page
36
#8-­‐10
9
Graphing
horizontal
and
vertical
lines.
None
Converting
from
slope-­‐intercept
to
standard
form
and
vice
10
None
versa.
Chapter
5
SSS
1

2. #1
Graphing
with
a
table
by
plugging
in
points.
A
______________
always
has
a
_______________
_______________
of
_______________,
or
_______________.
This
means
that
all
of
the
points
on
the
line
can
connect
with
a
_______________
ruler.
One
way
we
can
graph
is
by
making
an
X-­‐Y
Table.
This
is
also
known
as
an
_______________
-­‐
_______________
table
or
a
_____
-­‐_______________.
1. ! = −3! + 4
2. ! = −2! − 5
x
Plug
In
y
Ordered
Pair
x
Plug
In
y
Ordered
Pair
-­‐2
-­‐2
-­‐1
-­‐1
0
0
1
1
2
2
Chapter
5
SSS
2

3. 3. ! = ! + 3
4. ! = −! + 1
x
Plug
In
y
Ordered
Pair
x
Plug
In
y
Ordered
Pair
-­‐2
-­‐2
-­‐1
-­‐1
0
0
1
1
2
2
5. ! = −4! + 4
6. ! = 6! − 5
x
Plug
In
y
Ordered
Pair
x
Plug
In
y
Ordered
Pair
-­‐2
-­‐2
-­‐1
-­‐1
0
0
1
1
2
2
Chapter
5
SSS
3

4. #2
Verifying
a
point
lies
on
a
line
or
is
a
solution
to
the
equation.
Example
1:
Determine
whether
(3,
-­‐5)
lies
on
the
graph
of
y
=
-­‐3x
+4.
! = −3! + 4
If
you
plug
in
an
_______________
−5 = −3 3 + 4
−5 = −9 + 4
______________
and
you
end
up
−5 = −5
ü
(3,
-­‐5)
is
a
solution.
with
a
__________
statement,
then
Example
2:
Determine
whether
(8,
4)
lies
on
the
graph
of
the
given
point
__________
_____
3y
=
2x
–
1.
3! = 2! − 1
_____
__________
if
you
were
to
3 4 = 2 8 − 1
12 = 16 − 1
graph
it.
12 ≠ 15 !
(8,
4)
is
not
a
solution.
7. Which
point
lies
on
the
line
8. −1, −1 ; ! = −2! − 3
represented
by
the
equation
2x
+
3y
=
-­‐6?
a. (2,
-­‐2)
b. (-­‐1,
2)
c. (0,
2)
d. (-­‐3,
0)
! 10. −2, 5 ; ! = 3! + 1
9. 8, 13 ; ! = ! ! + 7
11. 3, −10 ; ! = −5! − 2
12. 6, −3 ; −! − 7! = 13
! 14. −1, −3 ; −6! + 3! = −4
13. 0, −4 ; − ! ! = ! + 2
15. 9, 0.5 ; ! − 2! = 8
16. −2, 0 ; 4! = −8! + 3
Chapter
5
SSS
4

5. #3
Identifying
parts
of
a
line
(slope
and
y-­‐intercept).
Slope:
Rise
over
Run
(m)
Y-­‐intercept:
Where
the
line
crosses
the
y-­‐axis
(b)
Y-­‐intercepts
are
always
written
as
an
ordered
pair:
(0,
b).
!
17. !"#$% = − ! , ! − !"#$%&$'# = 4
18.
!"#$% = −3, ! − !"#$%&$'# = 5
! !
19.
!"#$% = ! , ! − !"#$%&$'# = 1
20.
!"#$% = ! , ! − !"#$%&$'# = −2
! 22.
! = 2, ! = 1
21.
! = − ! , ! = −4
!
23.
!"#$% = ! , ! − !"#$%&$'# = −1
24.
!"#$% = 9, ! − !"#$%&$'# = 5
! !
25.
! = − ! , ! = −5
26.
! = − ! , ! = 3
27.
Y-­‐intercept
(b)
28.
Y-­‐intercept
(b)
Slope
(m)
Slope
(m)
Equation
Equation
Chapter
5
SSS
5

6. 29.
Y-­‐intercept
(b)
30.
Y-­‐intercept
(b)
Slope
(m)
Slope
(m)
Equation
Equation
31.
Y-­‐intercept
(b)
32.
Y-­‐intercept
(b)
Slope
(m)
Slope
(m)
Equation
Equation
33.
Y-­‐intercept
(b)
34.
Y-­‐intercept
(b)
Slope
Slope
(m)
Equation
Equation
y
=
____x
+
b,
where
m
=
_______________
and
(0,
b)
is
the
_______________.
Slope-­‐intercept
form
is:
Remember,
there
are
4
types
of
lines:
Uphill
_______________,
Downhill
_______________,
Horizontal
_______________,
and
Vertical
_____________.
Chapter
5
SSS
6

7. #4
Writing
equations
and
graphing
lines
given
a
point
and
the
slope.
Use
y
=
mx
+
b
every
time
you
write
the
equation
of
a
Steps:
line.
Remember,
m
is
the
slope
and
b
is
the
y-­‐intercept.
Ø First,
identify
m=____,
x=____,
and
y=____.
If
you
are
given
a
point
(x,
y)
and
the
slope,
just
plug
in
Ø Second,
write
out
y
=
mx
+
b
by
plugging
in
the
the
numbers
and
solve
for
b
and
say
BYE!
numbers,
____
=
____(____)
+
b.
Ø Third,
solve
for
b
(Do/Undo).
Ø Lastly,
plug
in
m
and
b
into
the
equation
as
final
answer.
35.
!"#$% = 4, !"##$%& !ℎ!"#$ℎ (−1, −2)
36.
!"#$% = 1, !"##$%& !ℎ!"#$ℎ (−5, −3)
Ø Identify
m=_____,
x=_____,
y=_____.
Ø Identify
m=_____,
x=_____,
y=_____.
Ø Plug
in
_____=_____(_____)
+
b.
Ø Plug
in
_____=_____(_____)
+
b.
Ø Solve
for
b:
Ø Solve
for
b:
Ø Plug
in
m
and
b,
y
=
_____x
+
_____.
Ø Plug
in
m
and
b,
y
=
_____x
+
_____.
We
can
graph
this
equation
too:
We
can
graph
this
equation
too:
Chapter
5
SSS
7

8. ! !
37.
!"#$% = ! , !"##$%& !ℎ!"#$ℎ (2, 0)
38.
!"#$% = ! , !"##$%& !ℎ!"#$ℎ (−5, −2)
39.
!"#$% = −2, !"##$%& !ℎ!"#$ℎ (0, 3)
!
40.
!"#$% = − ! , !"##$%& !ℎ!"#$ℎ (2, −2)
Chapter
5
SSS
8

9. #5
Writing
equations
and
graphing
lines
given
two
points.
Algebraically:
Graphically:
Ø Use
the
slope
formula
to
find
m.
Ø Plot
the
two
points
and
count
rise
over
run
to
Ø Identify
m=____,
x=____,
y=____
using
either
of
the
calculate
the
slope.
points
to
pick
x
and
y.
Ø Connect
the
two
points
together
using
a
ruler
to
find
Ø Write
out
y
=
mx
+
b
by
plugging
in
the
numbers,
the
y-­‐intercept.
____=____(____)
+
b.
Ø Write
the
equation
by
plugging
in
rise
over
run
as
m
Ø Solve
for
b
(Do/Undo).
and
y-­‐intercept
as
b.
**If
the
y-­‐intercept
does
not
Ø Plug
in
m
and
b
into
the
equation
as
final
answer.
appear
to
be
a
whole
number,
solve
the
problem
algebraically.
41. 4, 0 !"# 3, 3
42.
1, −4 !"# −2, −5
Ø Use
the
slope
formula
to
find
m:
− ( )
=
− ( )
Ø Identify
m=_____,
x=_____,
y=_____.
Ø Plug
in
_____=_____(_____)
+
b.
Ø Solve
for
b:
Ø Plug
in
m
and
b
into
equation
as
final
answer:
y
=
_____x
+
_____.
Ø Rise
=
_____,
Run
=
_____,
Slope
=
________
Ø Y-­‐intercept
=
_____
Ø Equation:
_______________________________
43.
4, 2 !"# (0, −1)
44.
−1, 0 !"# 3, 5
Chapter
5
SSS
9

10. 45.
−4, −2 !"# (−5, −5)
46.
3, 3 !"# (2, −4)
47.
−1, 5 !"# (3, −2)
48.
2, 0 !"# (−3, −3)
49.
−1, −2 !"# (−4, −1)
50.
0, 3 !"# (2, −1)
Chapter
5
SSS
10

11.
Slope-­‐intercept
form
Slope
2nd
point
(4,
-­‐4)
(-­‐1,-­‐1)
(1,
-­‐5)
(2,
-­‐3)
(3,
-­‐4)
(2,
0)
Chapter
5
SSS
11

12. #6
Graphing
lines
given
slope-­‐intercept
form.
Ø Identify
the
_______________
and
the
_______________.
Ø Plot
the
y-­‐intercept
on
the
_______________.
Ø Identify
the
_______________
and
the
_______________.
Ø Count
_______________
for
the
rise
and
________________
for
the
run.
Ø Connect
the
two
points
with
a
ruler.
Put
________________
on
both
ends.
Example:
Graph
! = 2!.
! 52.
! = 2! − 5
51.
! = − ! ! − 5
Slope:
Slope:
Rise:
Rise:
Run:
Run:
Y-­‐intercept:
Y-­‐intercept:
What
type
of
What
type
of
line?
line?
Chapter
5
SSS
12

13. ! !
53.
! = ! ! − 4
Slope:
54.
! = − ! ! + 1
Slope:
Rise:
Rise:
Run:
Run:
Y-­‐intercept:
Y-­‐intercept:
What
type
of
What
type
of
line?
line?
! 56.
! = −! + 2
55.
! = ! !
Slope:
Slope:
Rise:
Rise:
Run:
Run:
Y-­‐intercept:
Y-­‐intercept:
What
type
of
What
type
of
line?
line?
! 58.
! = 2! + 4
57.
! = − ! ! − 1
Slope:
Slope:
Rise:
Rise:
Run:
Run:
Y-­‐intercept:
Y-­‐intercept:
What
type
of
What
type
of
line?
line?
Chapter
5
SSS
13

14. #7
Finding
x-­‐
and
y-­‐intercepts
of
a
line
in
standard
form.
Standard
Form
of
a
Linear
Equation
The
standard
form
of
a
linear
equation
is
!" + !" = !,
where
A,
B,
and
C
are
real
numbers
and
A
and
B
are
not
both
zero.
Standard
form
is
when
_____
and
_____
are
on
the
__________
__________.
To
find
the
x-­‐intercept,
cover
up
the
_____
term
and
solve
for
x.
It
will
be
an
ordered
pair
(_____,
0).
To
find
the
y-­‐intercept,
cover
up
the
_____
term
and
solve
for
y.
It
will
be
an
ordered
pair
(0,
_____).
59.
! + 4! = 16
60.
! − 2! = −6
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
61.
! + 5! = −5
62.
! − 4! = −4
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
63.
! + 4! = −12
64. ! − 3! = 15
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
65.
! − 4! = 8
66.
! + ! = 1
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
67.
! − ! = −3
68.
3! − 5! = −15
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
69.
5! + 4! = −20
70.
2! − 3! = −12
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
71.
! + 2! = 1
72.
! − ! = −3
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
73.
2! − ! = 4
74.
3! − ! = −9
x-­‐intercept:
x-­‐intercept:
y-­‐intercept:
y-­‐intercept:
Chapter
5
SSS
14

15. #8
Graphing
lines
given
standard
form.
In
standard
form,
x
and
y
are
on
the
same
side.
Use
your
hands
to
carefully
cover
the
x
term
to
find
the
y-­‐intercept;
cover
the
y
term
to
find
the
x-­‐intercept.
Plot
the
intercepts
separately.
Connect
the
dots
and
you
will
see
the
line.
75.
! + ! = −2
X-­‐intercept:
76.
2! − ! = −4
X-­‐intercept:
Y-­‐intercept:
Y-­‐intercept:
Slope:
Slope:
What
type
of
What
type
of
line?
line?
77.
2! + 3! = −6
X-­‐intercept:
78.
! − 2! = −2
X-­‐intercept:
Y-­‐intercept:
Y-­‐intercept:
Slope:
Slope:
What
type
of
What
type
of
line?
line?
79.
3! − ! = 3
X-­‐intercept:
80.
! − 5! = 5
X-­‐intercept:
Y-­‐intercept:
Y-­‐intercept:
Slope:
Slope:
What
type
of
What
type
of
line?
line?
Chapter
5
SSS
15

16. 81.
! − 2! = 2
X-­‐intercept:
82.
2! + ! = −4
X-­‐intercept:
Y-­‐intercept:
Y-­‐intercept:
Slope:
Slope:
What
type
of
What
type
of
line?
line?
Chapter
5
SSS
16

17. #9
Graphing
horizontal
and
vertical
lines.
A
horizontal
line
has
a
slope
of
_______________.
A
vertical
line
has
a
slope
of
_______________.
The
equation
will
always
be
________________.
The
equation
will
always
be
_______________.
Remember:
____________________________________
Remember:
____________________________________
83. ! = 4
84.
! = 1
85.
! = −2
86.
! = 3
87.
! = 3
88.
! = −3
89.
! = 5
90.
! = 5
91.
! = 1
92.
! = 4
#10
Converting
from
slope-­‐intercept
to
standard
form
and
vice
versa.
93.
9! − ! = −1
94. 2! + 3! = −15
95.
5! − 6! = −36
96.
3! − 2! = −6
! ! ! !
97.
! = ! ! − 4
98.
! = − ! ! − 1
99.
! = ! ! − 6
100.
! = − ! ! − 4
Chapter
5
SSS
17