y = 2x + 8
I know it's going to be above the line and it is going to be dashed, but I don't know how to find the origin. Does it included the origin or does not include the origin?
Marked as Best Answer
You can always test it by plugging in the origin (0,0) into the original equation to see if it's valid:
-2(0) - (0) >= -8
0 >= -8 <=== true statement
So the origin would be within the shaded region.
You are given -2x-y>=-8 Rewrite it as y<=-2x+8 (Move y to the right and -8 to the left). Then the boundary line is straight line given by the equation y=-2x+8 and the region corresponding to the solution is underneath this straight line, that is below the boundary line.
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