5-6 Graphing Linear Inequalities in Two Variables

1. 5-6 Graphing Linear Inequalities in Two Variables EQ: How Can you graph a linear inequality in two variables

2. m slope m b b y Slope-Intercept Form y= __ x + __ . Where __ is equal to the ____. While the __ is equal to the __ intercept. Inequality Signs < < > > Less than or equal to Less than Greater than or equal to Greater than

3. Some Helpful Hints • If the sign is > or < the line is dashed • If the sign is  or  the line will be solid

4. When dealing with slanted lines • If y is on the > or  then you shade above • If y is on the < or  then you shade below the line Greater Than Less Than

5. 1 EXAMPLE y x Graph a Linear Inequality (y = mx + b) Graph the system of linear inequalities. m = -1 , b = 3

6. 1 EXAMPLE y x Graph a Linear Inequality (y = mx + b) Graph the system of linear inequalities.

7. Graphing an Inequality in Two Variables Graph x < 2 Graph the line x = 2

8. Graphing a Linear Inequality Sketch a graph of y  3

9. Using What We Know Sketch a graph of x + y < 3 Step 1: Put into slope intercept form y <-x + 3 Step 2: Graph the line y = -x + 3