Graph the inequality \(y > x + 1\) on a coordinate plane.

To graph the inequality \(y > x + 1\), follow these steps: 1. **Graph the boundary line**: Start by graphing the equation \(y = x + 1\). This is a straight line with a slope of 1 and a y-intercept of 1. To plot this line: - Start at the point (0, 1) on the y-axis. - From there, use the slope to find another point. For example, from (0, 1), move up 1 unit and right 1 unit to reach the point (1, 2). - Draw a dashed line through these points. The line is dashed because the inequality is strict (greater than, not greater than or equal to). 2. **Shade the appropriate region**: Since the inequality is \(y > x + 1\), you need to shade the region above the line. This represents all the points where the y-coordinate is greater than the value of \(x + 1\). 3. **Label the graph**: It can be helpful to label the line and the shaded region to indicate that it represents the solution to the inequality. Here’s a summary of the graphing process: - Draw a dashed line for \(y = x + 1\). - Shade the area above the line to indicate \(y > x + 1\). This visual representation shows all the points \((x, y)\) that satisfy the inequality.