-4(2x+y)=or grater than -8 [distribute]
-8x-4y =or> -8 [isolate the y]
-4y=-8+8x [divide both sides by the -4, and don't forget to flip the inequality sign bc you divided by a negative number]
y <= 2-4x
now just find the intercepts; at which point does x=0, and y=0
next, we find the slope, which is simply the change in Y over the change in X. (Y-y/X-x)
we simplify this by 'unreducing'....ironically. 4/-1.
so the slope is negative (drops from left to right) and raises 4 units for every 1 unit it shifts left.
I would use this concept to plug in see if y<=-2 when x is 1.... kinda to check my work. and it appears to be correct.
now you have three points to plot... (0,2) (.5/0) and (1,-2).
Draw a SOLID (bc its <=) line through the points, and shade in everything below it...bc its less than or equal to.
hope this helped...