Algebra I Section 5-6 Graphing Inequalities in Two Variables.
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Transcript of Algebra I Section 5-6 Graphing Inequalities in Two Variables.
![Page 1: Algebra I Section 5-6 Graphing Inequalities in Two Variables.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/1.jpg)
Algebra ISection 5-6
Graphing Inequalities in Two Variables
![Page 2: Algebra I Section 5-6 Graphing Inequalities in Two Variables.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/2.jpg)
Review: Graph the equation using slope-intercept form.
![Page 3: Algebra I Section 5-6 Graphing Inequalities in Two Variables.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/3.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/4.jpg)
Graphing Linear Inequalities (continued)
![Page 5: Algebra I Section 5-6 Graphing Inequalities in Two Variables.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/5.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/6.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/7.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/8.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/9.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/10.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/11.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/12.jpg)
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.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bff51a28abf838cbd574/html5/thumbnails/13.jpg)
Assignment:
Worksheet!• Write your name on your paper
• Follow the directions