to sketch the graph of the linear inequality:
Step 1. Graph the line.
Since the inequality we have is:
[tex]y>-\frac{2}{3}x-3[/tex]The line we need to graph is:
[tex]y=-\frac{2}{3}x-3[/tex]Here, the number that accompanies the x is called the slope of the line "m"
[tex]m=-\frac{2}{3}[/tex]and the independent number is called the y-intercept "b", which is the point where the line crosses the y-axis.
[tex]b=-3[/tex]The graph of just the line is:
And since the symbol of the inequality is ">", we will have the part that is up from the line.
And since the simply is not "≥" we will have the line pointed, the result will be as follows:
