Answer + Step-by-step explanation:
The graph of the inequality y>1/3x-4 is a half-plane that includes all points that satisfy the inequality. To graph the inequality, you can start by plotting the boundary line y=1/3x-4. This line is called the boundary because it separates the points that satisfy the inequality from the points that do not.
Points on the boundary line itself satisfy the inequality. For example, the point (12,1) satisfies the inequality because y=1/3x-4 when x=12 and y=1.
Points above the boundary line also satisfy the inequality. For example, the point (12,2) satisfies the inequality because y>1/3x-4 when x=12 and y=2.
Points below the boundary line do not satisfy the inequality. For example, the point (12,0) does not satisfy the inequality because y<1/3x-4 when x=12 and y=0.
To graph the inequality, you can plot the boundary line on a coordinate grid and then shade the half-plane that includes all of the points that satisfy the inequality. The graph would look like this:
The graph is a half-plane that includes all of the points above the boundary line y=1/3x-4. The boundary line itself is the dividing line between the points that satisfy the inequality and the points that do not.