Final answer:
Graph the inequality y > 4 by drawing a dashed horizontal line at y=4 and shading the area above the line.
Step-by-step explanation:
To graph the inequality y > 4 on a coordinate plane, you start by drawing a horizontal line at y=4. This line represents the boundary where the inequality changes from being untrue to true. Since the inequality is 'greater than' and not 'greater than or equal to', the line will be dashed to indicate that points on the line itself do not satisfy the inequality. If the inequality were 'greater than or equal to', such as y ≥ 4, the boundary line would be solid as points on the line would satisfy the inequality.
Next, to represent all the points where y is greater than 4, you would shade the entire region above the dashed horizontal line. Keep in mind that every point in this shaded area will have a y-value greater than 4, which fulfills the requirement of the inequality y > 4.