1. SWBAT… graph linear equations using a table of values
Tuesday, 11/30/10
SWBAT… graph linear equations using a table of values
Agenda
WU (10 min)
Notes on linear equations w/ two practice problems (30 min)
Warm-Up
Using a red pen, correct the equations test problems you got wrong. Do the corrections on your test (no need to explain)
Set up your Cornell Notes. Topic is Graphing Linear Equations
Cut a piece of graph paper into 4 squares.
HW#2: Graphing Linear Equations

2. Equations Test Answers
x = 36
No Solution
x = 12
x = 305
Infinite Solution
a = 8
x = (y – b)/m
b = 3
a = 11/(q – 3) (divide both sides by q – 3)

3. Graphing Linear Equations
Infinity HS
Ms. Sophia Papaefthimiou

4. Graphing linear equations
To graph a linear equation you can use:
1.) Table of values (today’s lesson)
2.) Intercepts (next project)
3.) Slope intercept form (y = mx + b) (next project)

5. What is a Linear Equation?
A linear equation is an equation whose graph is a LINE. y x
Using a graph paper square sketch a line with a negative slope.
Linear
Not Linear

6. What is a Linear Equation?y x
The equations we will be graphing have two variables, x and y.
For example,
A solution to the equation is any ordered pair (x , y) that makes the equation true.
The ordered pair (3 , 2) is a solution since,
If we were to plot all these ordered pairs on a graph, we would be graphing a line.

7. Ex 1: Graph y = 3x – 2 using a Table of Values
Step 1: Solve for y

8. Ex 1: Graph y = 3x – 2 using a Table of Values
Step 2: Make a table of values x
3x – 2 y
(x, y)

9. The x - values are picked by YOU!
Ex 1: Graph y = 3x – 2 using a Table of Values x
3x – 2 y
(x, y) –2 –1 1 2
The x - values are picked by YOU!

10. Ex 1: Graph y = 3x – 2 using a Table of Values
(x, y) -2
3(-2) – 2 -8
(-2, -8) -1 1 2

11. Ex 1: Graph y = 3x – 2 using a Table of Values
(x, y) -2
3(-2) – 2 -8
(-2, -8) -1
3(-1) – 2 -5
(-1, -5)
3(0) – 2
(0, -2) 1
3(1) – 2
(1, 1) 2
3(2) – 2 4
(2, 4)

12. Ex 1: Graph y = 3x – 2 using a Table of Values

13. -1/2x + y = -3 (Add 1/2x from both sides)
Ex 2: Graph -1/2x + y = -3 using a table of values
Step 1: Solve for y:
-1/2x + y = -3 (Add 1/2x from both sides)
y = 1/2x – 3

14. Ex 2: Graph -1/2x + y = -3 using a table of values
Step 2: Make a Table of Values x
1/2x – 3 y
(x, y) –2 –1 1 2

15. Ex 1: Graph -1/2x + y = -3 using a Table of Values http://www. glencoe

16. Ex. 3: Graph x – 2y = 5
First Step: Solve for y (write y as a function of x)
x – 2y = 5
–2y = -x + 5

17. Second Step: Make a Table of Values x y (x, y) -2 -3.5 (-2, -3.5) -1
(-1, -3)
-2.5
(0, -2.5) 1
(1, -2) 2
-1.5
(2, -1.5)

18. Graphing Horizontal & Vertical Linesy x
When you are asked to graph a line, and there is only ONE variable in the equation, the line will either be vertical or horizontal.
Graph x = 3
Since there are no y–values in this equation, x is always 3 and y can be any other real number.
y = –2
Graph y = –2
Since there are no x–values in this equation, y is always –2 and x can be any other real number.
x = 3

19. SWBAT… learn about high school credits, required classes, and credits
Thurs, 12/2/10
Agenda
Quiz (5 min)
Guest speaker: Ms. Leary (40 min)
Warm Up QUIZ: On graph paper:
1.) Graph 3x + y = 4 (Hint: solve for y first)
2.) Graph x = -6
3.) Graph y = 1
HW#2: Graphing Linear Equations (both sides)

20. y x
Graph x = -6
Since there are no y–values in this equation, x is always -6 and y can be any other real number.
y = 1
Graph y = 1
Since there are no x–values in this equation, y is always 1 and x can be any other real number.
x = -6