Question

A graph is shown below:

dotted line joining ordered pair negative 1, negative 2 and 5, 0 and the region above this line is shaded

Which of the following inequalities is best represented by this graph?

Answer 1

I'd suggest that you graph the scenario to get a better understanding or at least make a rough sketch if you are unable to graph.

It's dotted, so it's either between < or >.
{(-1,-2),(5,0)} is the set of points, yielding m=1/3 and a y-intercept of b=-5/3.
Since it's shaded above the line, the inequality is >

So the inequality is

y>(1/3)x-5/3