Name: ____________________________
Date: ________________ Block: ______
Mrs. Mistron and Mrs. Shafi
Steps to Graphing Linear Inequalities in slope – intercept form:
1. Identify the y – intercept (b)
2. Identify the slope (m)
3. Determine whether you need a dashed or solid line
a. Dashed line for < or >
b. Solid line for ≤ or ≥
4. Shade above or below the line
a. Above if y is > or ≥
b. Below if y is < or ≤
EXAMPLE ONE Graph the linear inequalities
2
(a) y  2 x  4
(b) y   x  1
3
y



y



x





x
x




















YOU TRY Graph the linear inequalities
(a) y   3x  5

y




x
5
(c) y 
(b) y 
y
5
x  2
3

y




x






x














EXAMPLE TWO Write the inequality
(a) The points 1, 6  and  3, 10  are on the boundary line and the point
 0, 0 
is a solution
y








x














(b) The points  6, 7  and  3, 4  are on the boundary line and the point
1, 2 
is NOT a solution
y








x




YOU TRY Write the inequality
The points  2, 10  and  2, 6  are on the boundary line and the point
 2, 5 is a solution
y












x




