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Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality NCSCOS: 1.02, 3.03, 4.01.

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Presentation on theme: "Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality NCSCOS: 1.02, 3.03, 4.01."— Presentation transcript:

1 Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality NCSCOS: 1.02, 3.03, 4.01

2 Steps to Remember 1. Rewrite the inequality so that it is in slope-intercept form y = mx + b y = mx + b 2. Plot the y-intercept (b) 3. Use the slope (m) to find other points on the line. 4. Draw the line Solid if = Solid if = Dotted if Dotted if 5. Shade above or below the line Above if > or >= Above if > or >= Below if < or <= Below if < or <=

3 Example 1 Graph y > 2x -5 The equation is already in slope- intercept form. Start by plotting the y-intercept (b = - 5)

4 Example 1 (cont) Graph y > 2x -5 Now use the slope to find other points on the line

5 Example 1 (cont) Graph y > 2x -5 Draw a dotted or solid line through the coordinates. This line will be dotted since the inequality is >

6 Example 1 (cont) Graph y > 2x -5 Shade above the line to show all of the coordinates that are solutions.

7 Example 2 Graph 2x - 5y >=15 First, solve for y … -5y >= -2x + 15 y <= 2/5 x – 3 Now go through the steps of graphing.

8 Example 2 Graph 2x - 5y >=15 y <= 2/5 x – 3 Plot the y-intercept

9 Example 2 Graph 2x - 5y >15 y <= 2/5 x – 3 Use the slope to find other points

10 Example 2 Graph 2x - 5y >15 y <= 2/5 x – 3 Draw a solid line through the points.

11 Example 2 Graph 2x - 5y >15 y <= 2/5 x – 3 Shade below the line

12 Special Example Graph x > 5 Graph x > 5 Remember the graph will be a vertical line. Remember the graph will be a vertical line.

13 Special Example Graph y< -2 Graph y< -2 Remember the graph will be a horizontal line. Remember the graph will be a horizontal line.


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