What inequality is shown on the graphs? Show all work to receive full credit. Algebra 2, inequalities and graphs.

Question

Answer 1

y intercept = 4=b

x intercept = -2

slope = (4-0)/(0--2) = 2=m

y =mx + b where m =2 and b= 4

y= 2x+ 4

but you want the area below that line, given how that area is shaded

so

y<2x+4

Answer 2

The y-intercept is 4.

The slope is 2.

The dividing line is therefore y=2x+4.

The graph is shaded under the line. Also the origin is a member of the solution set, so 0 < 2*0+5 = 5 is true.

The line is dashed, so this is a strict inequality

y < 2x + 4