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

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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)   (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 :


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


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