1. SWBAT… review the Cartesian Coordinate system & graph linear equations using a table of values Agenda 1. WU (10 min) 2. Review Cartesian Coordinate System (10 min) 3. Notes on linear equations (10 min) 4. 2 graphing examples (20 min) Warm-Up: 1. Write your HW in your planner for the week 2. Solve for y: y – 3x = -2 3. Solve for y: -4x – 4y = -8 HW#1 and HW#2 Fri, 10/12

2. Graphing linear equations using a table of values Infinity HS Ms. Sophia Papaefthimiou

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

4. What is a Linear Equation? A linear equation is an equation whose graph is a LINE. Linear Not Linear

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

6. Ex 1: Graph y – 3x = -2 using a Table of Values x3x – 2y(x, y) Step 1: Solve for y (write y as a function of x) Step 2: Make a Table of Values

7. The x - values are picked by YOU! x3x – 2y(x, y) –2 –1 0 1 2

8. Step 2: Make a Table of Values x3x – 2y(x, y) –23(–2) – 2-8(-2, -8) –1 0 1 2

9. Step 2: Make a Table of Values x3x – 2y(x, y) –23(–2) – 2-8(-2, -8) –13(–1) – 2-5(-1, -5) 03(0) – 2-2(0, -2) 13(1) – 21(1, 1) 23(2) – 24(2, 4)

10. y = 3x – 2 Step 3: Plot the ordered pairs Step 4: Label the line

11. Ex 2: Graph -4x – 4y = 8 Step 1: Solve for y (write y as a function of x) y = -x + 2

12. Step 2: Make a Table of Values xy(x, y) -24(-2, 4) 3(-1, 3) 02(0, 2) 11(1, 1) 2 0(2, 0) Step 3: Plot the ordered pairs Step 4: Label the line

13. Graphing Horizontal & Vertical Lines 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. For example, Graph x = 3 Since there are no y–values in this equation, x is always 3 and y can be any other real number. x = 3 Graph y = –2 Since there are no x–values in this equation, y is always –2 and x can be any other real number. y = –2

14. SWBAT… graph linear functions using a table of values Agenda 1. WU (15 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 Mon, 10/15

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

16. Application Graphing Problem A student makes $8 per hour at his part time job. Create a table of values and a graph to represent how much money he would earn if he worked the following hours: 15 hrs, 20 hrs, 22 hrs, 28 hrs. x (hours worked) y = 8xy (money earned) (x, y)