The document is a teaching material focused on converting equations from standard form to slope-intercept form in mathematics. It outlines the steps required for this conversion, provides multiple examples, and includes error analysis for student responses. Additionally, it contains activity cards and assessment questions to reinforce understanding of linear equations.

1. Submitted by:
JANET J. ELAD
Teacher III
STRATEGIC
INTERVENTION MATERIAL
IN MATHEMATICS VIII
(FIRST QUARTER)
Checked by:
ASUNCION A. EALA
Principal I

2. GUIDE CARD
Lesson Essential Question:
How doyou rewriteequations from
standard form tographing form?
Standard Form Slope-Intercept Form
Ax +By=C y=mx +b

3. Forms of Linear
Equations
• The forms oflinearequationsare the formatsin
whichthe informationis writtenin.
• These two forms are the most commonly used ways
to write linearequations.
1. StandardForm: Ax + By =C
2. SlopeIntercept Form: y=mx+b

4. What is StandardForm ?
• Standard Form is Ax + By = C
• Basically, if your x and y are on thesame side of the
equation,thenit is in standard form.
Slope– Intercept Form
y = mx + b
m represents the slope
b represents they-intercept
What is Slope- Intercept Form ?

5. 3 Powerful Movesto get your equationinto y=
mx +b
1. MOVE
X
2. DROP
ALL
3. dIVIDE
ALL

6. 1. MOVE X
Add or Subtract the x term to the other
side of equals.
Example# 1
write 6x + 4y = 12 intoy= mx + b
2. DROP ALL
Bring all terms
down in order.
Do not add or
subtract unlike terms!!!
6x + 4y = 12
-6x = -6x
4y = – 6x + 12
6x + 4y = 12
-6x = -6x

7. 3. DIVIDE ALL
Divide each term by the number
attached to y
keep slope a fraction!
4y = -6x + 12
4y = – 6x + 12
4 4 4
y = – 3x + 3
2

8. 1. MOVE X
Example# 2
write -4x +3y =12 into y= mx +b
2. DROP ALL
-4x + 3y = 12
4x = 4x
3y = 4x + 12
-4x + 3y = 12
4x = 4x

9. 3. DIVIDE ALL
3y = 4x + 12
3y = 4x + 12
3 3 3
y = 4x + 4
3
3 Powerful Moves to write -4x + 3y =12
intoy= mx + b

10. 1. MOVE X
2. DROP ALL
9x - y = -8
-9x = -9x
-y = -9x - 8
9x - y = -8
-9x = -9x
Example# 3
Write 9x -y =-8 intoy= mx +b

11. 3. DIVIDE ALL
- y = -9x - 8
-y = -9x - 8
-1 -1 -1
y = 9x + 8
3 Powerful Moves to write
9x -y =-8 intoy= mx + b

12. 1. MOVE X
Example #4
Write -8x -4y = -16 intoy= mx +b
2. DROP ALL
-8x - 4y = -16
8x = 8x
-4y = 8x - 16
-8x - 4y = -16
8x = 8x

13. 3. DIVIDE ALL
- 4y = 8x - 16
-4y = 8x - 16
-4 -4 -4
y = -2x + 4
3 Powerful Moves to write
-8x - 4y =-16 intoy= mx + b

14. 1. MOVE X
Example# 5
Write 3x +2y - 6 = 18 intoy= mx + b
2. DROP ALL
3x + 2y -6 = 18
-3x +6 = -3x + 6
2y = -3x + 24
3x + 2y - 6 = 18
-3x +6 = -3x + 6

15. 3. DIVIDE ALL
2y = -3x + 24
2y = -3x + 24
2 2 2
y = -3x + 12
2
Write 3x + 2y = 18
intoy= mx + b

16. 1.MOVE
Example #6
Write -7x +14y + 3 = 3x + 31 into y= mx +b
2. DROP ALL
-7x + 14y + 3 = 3x +31
7x - 3 = 7x -3
14y = 10x + 28
-7x + 14y + 3 = 3x + 31
7x - 3 = 7x - 3

17. 3. DIVIDE ALL
14y = 10x + 28
14y = 10x + 28
14 14 14
y = 5x + 2
7
Writing -7x + 14y = 28 into y=mx + b

18. 1. MOVE X
Example #7
Write -5x + 3y =2y - 9 into y=mx +b
2. DROP ALL
-5x + 3y = 2y -9
5x –2y = -2y +5x
y = 5x - 9
-5x + 3y = 2y -9
5x -2y = -2y + 5x

19. Error Analysis
JARED
12x + 3y = 9
3y = 9 – 12x
y = 3 – 4x
Ali
12x + 3y = 9
4x + y = 3
y = -4x + 3
Four students rewrote the equation 12x + 3y = 9 into slope-intercept
form. Determine who did it correctly. If the student did it incorrectly,
explainthe mistake.
Molly
12x + 3y = 9
3y = 9 – 12x
y = 3 – 12x
Mia
12x + 3y = 9
3y = 9 – 12x
y = 3 – 4x
y = 4x - 3
ACTIVITY CARD 1

20. Identifythe
equations in
standardform
A. 2x – 4y = 6
B. y = 3x + 1
C. x – y = 1
D. 4y = 5x + 8
E. -x + 2y = 6
F. y = 1/3x +
2.5
G. 2y +7 = 3x
ACTIVITY CARD 2

21. ACTIVITY CARD 3

22. What is the country’s largest lake?
ASSESSMENT CARD
Rewrite the following
equation into slope –
intercept form. Notice
the letter next to it.
Write this letter next to
each box containing
the answerto each
equation.
G
15y = 30x
L
64y = 4x
B
x = 3y +9
E
x + 4y – 16 = 0
M
5x = y + 10
U
7x - 7y + 28 = 0
D
2x + y = 5
N
6x - 2y = 8
A
x + y - 2 = 0

23. What is the country’s largest lake?
y = 1/16x
y = -x + 2
y = 2x
y = x + 4
y = 3x - 4
y = -x + 2
y = -2x + 5
y = -x/ 4 + 4
y = x/ 3 - 3
y = -x +2
y = 6x + 1/ 2
ASSESSMENT CARD
Write the letter
of your answer
next to each box
containing each
equation.

24. ASSESSMENT CARD
Who was the Greek Mathematician considered as Father of Algebra?

25. ASSESSMENT CARD
Write the letter
of your answer
next to each box
containing each
equation.
Who wasthe Greek
Mathematicianconsidered as
Father of Algebra?

26. ENRICHMENT CARD

27. y = mx + b
O y = 5x + 25
M y = -3x + 21
M x = 1/4y + 8
L x = -5/7y + 6
T y = 3/4x + 8
I y = 35 + 5x
Z 5/6x + y = 1
E (y + 5)/(x – 6) = 1/5
N 3/5x = y + 12
N (3y + 2)/(x – 8) = 4
R 1/3x + 9y = 18
S y/2 = 3x + 3/5
D 2x – 8 = 3y + 6
U 1/2x – 4y = 16
A y/2 + x/3 = 1
ENRICHMENT CARD
Kilometric
distances are
measured from
what landmark in
Transform the
following equation
into Standard form.
Find the answer in
the first table. Write
in the second table
the letter that
corresponds to the
correct answer.

28. LETTER ANSWER
x + 27y = 54
5x – y = -35
5x + 6y = 6
2x + 3y = 6
7x + 5y = -42
4x + 2 = 2
3x + y = 21
5x – y = -25
4x – 3y = 34
x – 8y = 32
4x – y = 32
x – 5y = 31
3x – 5y = 60
3x – 4y = -32
ENRICHMENT CARD
Kilometric
distances are
measured from
what landmark in
Transform the
following equation
into Standard form.
Find the answer in
the first table. Write
in the second table
the letter that
corresponds to the
correct answer.

29. Identifythe
equations in
standardform
A. 2x – 4y = 6
C. x – y = 1
E. -x + 2y = 6
G. 2y +7 = 3x
ANSWER CARD
ACTIVITY # 1

30. 1. y = -2x + 9 m = -2
b = 9
2. y = -x/2 + 2 m = -1
b = 2
3. y = 3x -2 m = 3
b = -2
4. y = -5/2x + 7/2 m = -5/2
b = 7/2
5. y = x + 1/3 m = 1
b = 1/3
6. y = 5/7x – 2/7 m = 5/7 b = -
2/7
ANSWER CARDA
C
T
I
V
I
T
Y
#
2

31. What is the country’s largest lake?
L y = 1/ 16x
A y = -x + 2
G y = 2x
U y = x + 4
N y = 3x - 4
A y = -x + 2
D y = -2x + 5
E y = -x/ 4 + 4
B y = x/ 3 - 3
A y = -x +2
Y y = 6x + 1/ 2
ANSWER TO
ASSESSMENT CARD
Write the letter
of your answer
next to each box
containing each
equation.

32. Write the letter
of your answer
next to each box
containing each
equation.
D
I
O
P
H
A
N
T
U
S
ANSWER TO
ASSESSMENT CARD
Who wasthe Greek
Mathematicianconsidered as
Father of Algebra?

33. LETTER ANSWER
r x + 27y = 54
i 5x – y = -35
z 5x + 6y = 6
a 2x + 3y = 6
l 7x + 5y = 42
4x + 2 = 2
m 3x + y = 21
O 5x – y = -25
n 4x – 3y = 34
u x – 8y = 32
m 4x – y = 32
e x – 5y = 31
n 3x – 5y = 60
t 3x – 4y = -32
Kilometric
distances are
measured from
what landmark in
Manila?
ANSWER TO
ENRICHMENT CARD

34. REFERENCE CARD
Pathways to
Mathematics I
Merlinda M. Pata
Page148 - 149
Pathways to
Mathematics IV
Merlinda M. Pata
Page 32
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