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Learn how to graph linear inequalities in two variables using the slope-intercept form y = mx + b. Helpful hints and examples included.
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5-6 Graphing Linear Inequalities in Two Variables EQ: How Can you graph a linear inequality in two variables
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
Some Helpful Hints • If the sign is > or < the line is dashed • If the sign is or the line will be solid
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
1 EXAMPLE y x Graph a Linear Inequality (y = mx + b) Graph the system of linear inequalities. m = -1 , b = 3
1 EXAMPLE y x Graph a Linear Inequality (y = mx + b) Graph the system of linear inequalities.
Graphing an Inequality in Two Variables Graph x < 2 Graph the line x = 2
Graphing a Linear Inequality Sketch a graph of y 3
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
