Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Practice and Problem-Solving Exercises - Page 403: 25

$y$ $\geq$ $2$ $y$ $\gt$ $x+1$

The equation is $y$ $\geq$ $2$ because $y=2$ and the upper side of the line is shaded. The points $(0,1)$ and $(1,2)$.Find the slope: $m=\dfrac{1-0}{2-1}$ $m=1$ The slope equation is $y=mx+b$ $y=mx+b$ $2=1(1)+b$ $2=1+b$ $1=b$ The equation is $y$ $\gt$ $x+1$ because $(0,0)$ is not included in the solution area.