To graph the inequality 'y - 4 > -2/3 x', draw the boundary line as a dashed line and shade the region above it because the inequality indicates greater than. The diagram is attached below
To graph and shade the inequality y - 4 > -2/3 x, start by treating the inequality as if it were an equation: y - 4 = -2/3 x. This is the boundary line of the inequality. Sketch this line on a graph by finding two points that satisfy the equation. For instance, when x is 0, y is 4, and when y is 0, x is 6.
Connect these points with a dashed line because the inequality does not include the equal part (>). Now, since the inequality is y is greater than something, this means you should shade above the boundary line. The shaded region represents all the points (x, y) that satisfy the inequality.