1. Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES

2. Graphing Equations

3.  Graph the equation:  Y = 4x + 3

4. Graphing Equations  Graph the equation:  Y = 4x + 3  Step 1: Create an x/y chart  Step 2: Pick two points for x  Step 3: Determine the value of y given x  Step 4: Graph the two points and draw the line.

5. Graphing Equations Practice  Graph the equation:  Y = -5x – 2

6. Graphing Equations Practice  Graph the equation:  Y = -5x – 2  Step 1: Create an x/y chart  Step 2: Pick two points for x  Step 3: Determine the value of y given x  Step 4: Graph the two points and draw the line.

7. Graphing Inequalities

8.  Y < 2x + 1

9. Graphing Inequalities  Y < 2x + 1  Step 1: Create an x/y chart  Step 2: Pick two points for x  Step 3: Determine the value of y given x  Step 4: Graph the two points and draw the line.  Step 5: Shade (detailed on next slide)

10. Shading  Determining what side to shade:  Step 1: Pick a point not on the line. (0,0) is usually the easiest.  Step 2: Plug those coordinates into the equation.  Step 3: Determine if the statement is a true or false statement.  Step 4: Shade the same side of the line as the point if a TRUE Statement. Shade the opposite side of the line as the point if a FALSE statement.

11. Graphing Inequalities  Y < 2x + 1  Step 1: Pick (0,0)  Step 2: 0 < 2(0) + 1  Step 3: 0 < 1 TRUE statement  Step 4: Shade the same side as the point.

12. Graphing Inequalities Practice  Graph:  Y ≥ -3x - 2

13. Graphing Inequalities Practice  Graph:  Y ≤ ¼ x + ½