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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