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

2. y= __ x + __ . Where __ is equal to
Slope-Intercept Form
y= __ x + __ . Where __ is equal to
the ____. While the __ is equal to the
__ intercept.
Inequality Signs
< < > > m
slope
m b b y
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. Greater Than Less Than 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. m = -1 , b = 3 Graph a Linear Inequality (y = mx + b)
EXAMPLE 1
Graph a Linear Inequality (y = mx + b)
Graph the system of linear inequalities. x y
m = -1 , b = 3

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

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. Step 1: Put into slope intercept form
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