Graphing systems

Graphing systems

• 1.
  Graphing and ShadingSystems of Inequalities
• 2.
  Background Information Example:Y>X+2 < AND > = A dashed line < AND > = A solid line When Graphing Lines... Watch Standard form Equations When Shading... Pick a point on 1 side of line Plug into equation If it works, shade that area. If not shade the area on the opposite side You want to change equations from Ax + By=C Y=mx + b to - - *Remember, the shading = the solution set for the equation(s)
• 3.
  Graphing & Shadinga Single Linear Inequality Ex: Y<X+3 First: Create a dashed line by using slope and Y intercept Slope=1 Y intercept= (0,3) Next, pick a point (let’s say (0,0)) and plug it into the equation If it works, shade that area, if not shade the area across the line 0< 0+3 (True :))
• 4.
  Graphing and Shadinga System of Inequalities Ex: Y>X Ex: Y>2 Again, find slope and Y intercept, then graph the dotted lines Slope=1 Y int.=(0,0) Slope=0 Y int.=(0,2) As previously learned plug in a point for each Let’s say (0,1) for the first and (0,3) for the second As you will find, they are both true. The solution set is where both shaded areas are intertwined
• 5.
  Standard Form Systemsof Equalities Change equations of Ax+By=C to Y=mx+b First subtract Ax from both sides Then divide both sides by B Once you have your equation just follow the steps given in the two-three previous slides Ex: X+Y<6 -X -X Y<6-X Then just graph and shade B =1 so no Division
• 6.
  Thank You Thank you, fellow students, for listening to our review of graphing and shading systems of inequalities. We also hope that Mr. Zagorski recovers from his terrible case of “Summeritis.”
• 7.
  http://clipart.siqik.com/backgrounds/4-1304628835-cool-background.jpg http://www.freemathhelp.com/images/lessons/graph17.gif http://www.wyrmcorp.com/galleries/illusions/Hermann%20Grid.pngCites