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Amar's Standard 6 Assignment

Page history last edited by Amar Ilyas 15 years, 5 months ago

Standard 6.0

 

Definition: Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x+6y=4). They are also able to sketch the region defined by the linear inequalities (e.g., they sketch the region defined by 2x+6y<4).

 

Student Friendly: You can graph and equation and figure out the x- and y-intercepts. You will also be able to shade in the region designated by the linear inequalities.

 

 

Problem: Graph the linear equation –x+y=2

 

 

 

 

I found the y-intercept by making x equal zero. You find the x-intercept by making y equal zero.

 

-(0)+y=2                                                                                  -x+(0)=2

Y=2                                                                                         -x=2

                                                                                                X=-2

Problem: Graph the inequality y>-x+2

 

 

 

 

 

 

Step 1: Write the inequality into slope-intercept-form: y=-x+2.

The inequality is <  (less than), so use a dashed line

 

Step 2: Test (0,0) in y>-x+1

0>- (0)+1

0>1

 

 

Step 3: It doesn’t work, so you will have to shade away from the point (0,0) because it is not a solution to the equation.

 

Link for Inequalities: Solving Systems of Inequalities - Free Math Help

 

Link for x- and y-intercepts:Systems of Linear Equations - Free Math Help

 

 

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