Which linear inequality is represented by the graph?y > 2x + 2y ≥ x + 1y > 2x + 1y ≥ x + 2

Step 1Find the slope of the lineLet [tex]A(0,1)\\B(2,5)[/tex]the slope is equal to[tex]m=\frac{y2-y1}{x2-x1}[/tex]substitute[tex]m=\frac{5-1}{2-0}[/tex][tex]m=\frac{4}{2}[/tex][tex]m=2[/tex]Find the equation of the linewe know thatthe equation of the line into slope-intercept form is [tex]y=mx+b[/tex]wherem is the slopeb is the y-interceptin this problem we have[tex]m=2[/tex][tex]b=1[/tex] ------> the y-intercept is the point Asubstitute[tex]y=2x+1[/tex]Step 2Find the equation of the inequalitywe know thatthe solution is the shaded area above the dotted linesoabove dotted line---------> represent the symbol ([tex]>[/tex])the inequality is[tex]y>2x+1[/tex]thereforethe answer is[tex]y>2x+1[/tex]