Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
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Transcript of Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
![Page 1: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/1.jpg)
Graphing Inequalities in Two VariablesALGEBRA 1 UNIT 6: INEQUALITIES
![Page 2: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/2.jpg)
Graphing Equations
![Page 3: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/3.jpg)
Graphing Equations
Graph the equation: Y = 4x + 3
![Page 4: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/4.jpg)
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.
![Page 5: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/5.jpg)
Graphing Equations Practice
Graph the equation: Y = -5x – 2
![Page 6: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/6.jpg)
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.
![Page 7: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/7.jpg)
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!
![Page 8: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/8.jpg)
Graphing Inequalities
![Page 9: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/9.jpg)
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).
![Page 10: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/10.jpg)
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.
![Page 11: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/11.jpg)
Graphing Inequalities
Y < 2x + 1
![Page 12: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/12.jpg)
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)
![Page 13: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/13.jpg)
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.
![Page 14: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/14.jpg)
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.
![Page 15: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/15.jpg)
Graphing Inequalities Practice
Graph:Y ≥ -3x - 2
![Page 16: Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.](https://reader035.fdocuments.us/reader035/viewer/2022062300/56649dcd5503460f94ac157b/html5/thumbnails/16.jpg)
Graphing Inequalities Practice
Graph:Y ≤ ¼ x + ½