Graphing Inequalities lines

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Presentation transcript:

Graphing Inequalities lines Slope and Y-intercept Form

Graphing inequalities is very similar to graphing linear equations. Once you graph your linear equation, focus on the inequality symbol It's easy and fun.

> > < < Inequalities Signs Shadow up Dotted line Solid line Shadow up < Shadow Down Dotted line < Shadow Down Solid line

. . . y < 2 x + 1 y < m x + b m Graphing inequalities Rise = 2 2 Run = 1 . y < m x + b . Y-intercept Order Pair Rise = 2 b = 1 (0 , 1) Slope 2 Rise m = = m = 2 Run 1

. . . y < 2 x + 1 y < m x + b m Graphing inequalities Rise = 2 2 Run = 1 . y < m x + b . Y-intercept Order Pair Rise = 2 b = 1 (0 , 1) Slope 2 Rise m = = m = 2 Run 1

. . . < < = y < 2 x + 1 y < m x + b Graphing inequalities Run = 1 . y < m x + b . Now lets graph the line Rise = 2 < Less Than Means Shadow down < = Solid Line

. . . < < = y < 2 x + 1 y < m x + b Graphing inequalities Run = 1 . y < m x + b . Now lets graph the line Rise = 2 < Less Than Means Shadow down < = Solid Line

. . . < < = y < 2 x + 1 y < m x + b Graphing inequalities Run = 1 . y < m x + b . Now lets graph the line Rise = 2 < Less Than Means Shadow down < = Solid Line

. . . y > - 3 x + 2 y > m x + b m Graphing inequalities Run = 1 y > m x + b . Y-intercept Order Pair . Fall = -3 b = 2 (0 , 2) Slope . -3 Fall m = = m = -3 Run 1

. . . y > - 3 x + 2 y > m x + b m Graphing inequalities Run = 1 y > m x + b . Y-intercept Order Pair . Fall = -3 b = 2 (0 , 2) Slope . -3 Fall m = = m = -3 Run 1

. . . > > y > - 3 x + 2 y > m x + b Graphing inequalities Run = 1 y > m x + b . Now lets graph the line . Fall = -3 > Great Than Means Shadow up > . No Equal Sigh Dotted Line

. . . > > y > - 3 x + 2 y > m x + b Graphing inequalities Run = 1 y > m x + b . Now lets graph the line . Fall = -3 > Great Than Means Shadow up > . No Equal Sigh Dotted Line

Graphing System of inequalities Two lineal Inequalities at the Same time Find The solutions of this inequality system y < 2 x + 1 y > - 3 x + 2

. . < < = y < 2 x + 1 Graphing System of inequalities 2 Rise b = 1 m = 2 = = Run 1 . Now lets graph the line < Less Than Means Shadow up < = Solid Line

. . < < = y < 2 x + 1 Graphing System of inequalities 2 Rise b = 1 m = 2 = = Run 1 . Now lets graph the line < Less Than Means Shadow up < = Solid Line

. . . . > > y < 2 x + 1 y > - 3 x + 2 Graphing System of inequalities y < 2 x + 1 . 2 Rise b = 1 m = 2 = . = Run 1 . y > - 3 x + 2 . Fall -3 b = 2 m = -3 = = Run 1 Now lets graph the line > Great Than Means Shadow up > No Equal Sign Dotted Line

. . . . > > y < 2 x + 1 y > - 3 x + 2 Graphing System of inequalities y < 2 x + 1 . 2 Rise b = 1 m = 2 = . = Run 1 . y > - 3 x + 2 . Fall -3 b = 2 m = -3 = = Run 1 Now lets graph the line > Great Than Means Shadow up > No Equal Sign Dotted Line

> > y < 2 x + 1 y > - 3 x + 2 Graphing System of inequalities y < 2 x + 1 2 Rise b = 1 m = 2 = = Run 1 y > - 3 x + 2 Fall -3 b = 2 m = -3 = = Run 1 Now lets graph the line > Great Than Means Shadow up > No Equal Sign Dotted Line

y < 2 x + 1 y > - 3 x + 2 Graphing System of inequalities 2 Rise b = 1 m = 2 = = Run 1 y > - 3 x + 2 Fall -3 b = 2 m = -3 = = Run 1 Solution is were both lines overlaps.