What is the inequality that represents the graph?

Question

The graph shows a 2d plane that ranges from -2 to 2 on both the x and y axis. There's a dotted line going through (0, -1) and (2, 0) with the area below it highlighted.

I semi-understand the graph, but I'm not sure how to make an inequality that represents it.

Answer 1

the slope of the dotted line is 1/2

the equation of the line is ... y = 1/2 x - 1

the line is dotted because it is not part of the inequality
... there is a "less than", but no "equal"

the shaded area is the solution area

y < 1/2 x - 1