SOLUTION: How can we use the slope-intercept form of the equation of the line for solving inequalities and systems of inequalities?

Algebra ->  Linear-equations -> SOLUTION: How can we use the slope-intercept form of the equation of the line for solving inequalities and systems of inequalities?      Log On


   

Question 394968: How can we use the slope-intercept form of the equation of the line for solving inequalities and systems of inequalities?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: the standard slope-intercept form for an equation of a line y = mx + b  

where m is the slope and b the y-intercept.  

isolating y on one side of the equality by performing allowable operations correctly

For ex:  2y -4x < 4  

           y < 2x + 2  |Line: y = 2x + 2, slope m = 2/1  y intercept Pt(0,2)

ONe can graph the line and shade below it: (y < 2x+2) to illustrate 

the graph of the Inequality




 
Solved by pluggable solver: Plot Any Inequality


Graphing function y%3C2x%2B2: 

  

  graph%28+300%2C+300%2C+-10%2C+10%2C+-8%2C+12%2C+y%3C2x%2B2+%29





As to systems of Inequalities, the shaded area they have in common, represents

the solution for the Inquality

For ex. system of Inequalities

 y < 2x + 2  Green line

 y > 2x - 2  Blue line

Solution would be shaded area below green line and above blue line

Solution would be the shaded area between the two lines and not including the lines