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

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

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

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

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

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

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

Graphing a Linear Inequality Sketch a graph of y  3

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