Algebra I Section 5-6 Graphing Inequalities in Two Variables.

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Algebra I Section 5-6 Graphing Inequalities in Two Variables

Transcript of Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Page 1: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Algebra ISection 5-6

Graphing Inequalities in Two Variables

Page 2: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Review: Graph the equation using slope-intercept form.

Page 3: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graphing Linear Inequalities

Step 1: Rewrite the equation so y is by itself

Step 2: Write down the slope and the y-intercept

Step 3: Plot the y-intercept (the “b” value)

Step 4: “Move” up/down the slope from that point

Page 4: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graphing Linear Inequalities (continued)

Page 5: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graphing Linear Inequalities (continued)

Step 6: Test a point to determine which side of the line should

be shaded

If the test point is true, then shade the side that does

include the test point

If the test point is false, then shade the side that

does not include the test point

Page 6: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. List the m and b, and say whether it is a dashed or solid line. Then graph and shade.

Page 7: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. List the m and b, and say whether it is a dashed or solid line. Then graph and shade.

Page 8: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. List the m and b, and say whether it is a dashed or solid line. Then graph and shade.

Page 9: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. List the m and b, and say whether it is a dashed or solid line. Then graph and shade.

Page 10: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Constant Inequalities

horizontal line

slope = 0

equation: y (inequality sign) number

follow the same steps

Page 11: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. Write whether it is a dashed or solid line. Then graph and shade.

Page 12: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Graph each inequality. Write whether it is a dashed or solid line. Then graph and shade.

Page 13: Algebra I Section 5-6 Graphing Inequalities in Two Variables.

Assignment:

Worksheet!• Write your name on your paper

• Follow the directions