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. ASSIGNMENT  With the two sticky- notes you have, there are 6 equations you will graph on the given graph paper. I need these turned in tomorrow!

8. Graphing Inequalities

9. Graphing Inequalities Basic Steps  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:  ******* IF >,< then it is a DOTTED LINE!!  ******* IF ≥, ≤ then it is a SOLID LINE!!  Step 5: Determine which side to shade (shading test explained later).

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

12. 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)

13. 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.

14. 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.

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

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