Algebra I Recipe: Graphing Linear Inequalities with Two Variables

1. Solve the inequality for "y".
2. Determine the slope and y-intercept.
3. Graph the y-intercept.
4. Use the slope (rise/run) to graph more points.

5. Connect the points.

   • With a solid boundary line, if you have ≥, ≤ after solving for "y".
   • With a broken boundary line, if you have >, < after solving for "y".
6. Shade the graph.
• Above the boundary line, if you have >, ≥ after solving for "y".
• Below the boundary line, if you have <, ≤ after solving for "y".
7. The answers are in the shaded area and on the solid line, if there is one.