How to graph a system of linear inequalities. How to figure out the points.

y<-5x-7
y>2x+7

Plot the line

y=-5x -7 I assume you know how to do that. Now, since y is less than that line (look at the original equation), the area of allowability is BELOW that line.

Now plot y=2x+7. Since Y is greater than that (see the original equation), the area of interest for this equation is ABOVE that line.

For both equations, the allowed x,y area is where both areas allowed overlap.