1. the x-intercept and the y-intercept
MS Algebra A-F-IF-4 – Ch. 5.4 Graphing Linear Equations Using Intercepts
ALGEBRA SUPPORT
Graph Functions Using
the x-intercept and the y-intercept

2. SUPPORT Class Learning Target
Title: 5.4 Graphing Linear Equations Using Intercepts
Date:
SUPPORT Class Learning Target
By the end of the period, I will graph a linear equation using x and y intercepts with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.4 Pg ) Section ______
TxtBk. Prob.#7,9,25,43,47-50 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Ax + By = C Finding Intercepts of a Linear Equation x-intercept (x, 0)
Notes:
Finding Intercepts of a Linear Equation
Ax + By = C
A = Coefficient of x
B = Coefficient of y
C = Constant
x-intercept (x, 0)
Set y = 0 and solve for x
y-intercept (0, y)
Set x = 0 and solve for y

5. Ax + By = C Finding Intercepts of a Linear Equation x-intercept (x, 0)
Notes:
Finding Intercepts of a Linear Equation
Ax + By = C
A = Coefficient of x
B = Coefficient of y
C = Constant
(0, 2)
(4, 0)
Ex. 3x + 6y = 12
x-intercept (x, 0)
Set y = 0 and solve for x
y-intercept (0, y)
Set x = 0 and solve for y
3(0) + 6y = 12
6y = 12
6 6
y = 2
3x + 6(0) = 12
3x = 12
3 3
x = 4
x-intercept (4, 0)
y-intercept (0, 2)

6. 4x + y = 4 x-intercept y-intercept
HW # 7
Step 1) Set y = 0; Find x
Step 2) Set x = 0; Find y
Find the x-intercept and the y-intercept of the graph of the equation:
4x + y = 4
x-intercept
y-intercept x y

7. 2x - 8y = 24 x-intercept y-intercept
HW # 9
Step 1) Set y = 0; Find x
Step 2) Set x = 0; Find y
Find the x-intercept and the y-intercept of the graph of the equation:
2x - 8y = 24
x-intercept
y-intercept
Choose the appropriate scale for your graph! x y

8. Storm Check (Think, Write, Discuss, Report)
How do you find the x-intercept for a given linear equation? To find the x-intercept for a given
linear equation, I have to ____________________
_____________________________________________.
How do you find the y-intercept for a given linear equation? To find the y-intercept for a given
_________________________________________.

9. Graph the equation (& Label the Intercepts):
HW # 25 x y
Graph the equation (& Label the Intercepts):
3x + y = 15
Step 1) Set y = 0; Find x
Step 2) Set x = 0; Find y
Step 3) Graph Points & Line
Step 4) Label the intercepts
Choose the appropriate scale for your graph!

10. 2x + 5y = -10 5x + 2y = -10 5x + 2y = 10 2x + 5y = 10 x y
HW # 43
The graph of which equation is shown? x y
2x + 5y = -10
2x + 5y = 10
5x + 2y = -10
5x + 2y = 10

11. Storm Check (Think, Write, Discuss, Report)
When looking at a graph, what does the
x-intercept and the y-intercept each represent?
When looking at a graph, the x-intercept represents
___________________________________________
______________________________________.
When looking at a graph, the y-intercept represents
__________________________________________.

12. The D-intercept represents ________________________
HW # 47
State what the intercepts of the graph of the equation represent for the situation described.
You have $2.30 in dimes and nickels. The situation is given by 0.10D N = 2.30 where D is the number of dimes and N is the number of nickels.
The D-intercept represents ________________________
_______________________________________________.
The N-intercept represents ________________________
Choose the appropriate scale for your graph!
Step 1) Set D = 0; Find N
Step 2) Set N = 0; Find D
Step 3) Graph Points & Line D N

13. The x-intercept represents ________________________
HW # 48
State what the intercepts of the graph of the equation represent for the situation described.
You earned 85 points on a test that has questions worth 4 points and questions worth 5 points. The situation is given by 4x + 5y = 85 where x is the number of 4 point questions answered correctly and y is the number of 5 point questions answered correctly.
The x-intercept represents ________________________
_______________________________________________.
The y-intercept represents ________________________
Step 1) Set y = 0; Find x
Choose the appropriate scale for your graph!
Step 2) Set x = 0; Find y
Step 3) Graph Points & Line x y

14. The B-intercept represents ________________________
HW # 49
State what the intercepts of the graph of the equation represent for the situation described.
In one month you earn $240 babysitting for $10 per hour and dog walking for $8 per hour. The situation is given by 10B + 8D = 240 where B is the number of hours you spend babysitting and D is the number of hours you spend dog walking.
The B-intercept represents ________________________
_______________________________________________.
The D-intercept represents ________________________
Step 1) Set D = 0; Find B
Choose the appropriate scale for your graph!
Step 2) Set B = 0; Find D
Step 3) Graph Points & Line B D

15. x y Write an equation for the perimeter:
Find the intercepts & graph the equation.
HW # 50
The perimeter of a rectangular garden at the Filoli gardens in Woodside, CA, is 900 feet. The garden has a width of x feet and a length of y feet.
Equation for the perimeter:
Intercepts & graph
of the equation.
Choose the appropriate scale for your graph! x y

16. Vocabulary – Linear Equation
Standard Form
Slope-Intercept Form
X-Intercept (X, 0)
Y-Intercept (0, Y)
Point-Slope Form

17. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

18. Title: 5.4 Graphing Linear Equations Using Intercepts
Date:
Learning Target
By the end of the period, I will graph a linear equation using x and y intercepts with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

19. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.4 Pg ) Section ______
TxtBk. Prob.#7,9,25,43,47-50 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

20. Graph the function (Label the X & Y Intercepts) 2x – 5y = 10 x y
Ticket OUT. x y
Step 1) Set x = 0; Find y
Step 2) Set y = 0; Find x
Step 3) Graph Points/Line
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

21. Graph the function (Label the X & Y Intercepts) 2x – 5y = 10 x y -2
Ticket OUT.
ANSWER x y -2 5
Step 1) Set x = 0; Find y
Step 2) Set y = 0; Find x
Step 3) Graph Points/Line
2(0) – 5y = 10
-5y = 10
y = -2
Step 1)
2x – 5(0) = 10
2x = 10
2 2
x = 5
Step 2)
(5, 0)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
(0, -2)