Question 749565
A dotted line going through (-3,3) and (3,1) is not part of the solution (if it were it would be drawn as a solid line to indicate that), but it is a boundary.
The slope of that line is {{{(-3-(-1))/(-3-3)=(-3+1)/(-3-3)=(-2)/(-6)=1/3}}}
The equation can be written in point=slope form based on point (3,-1) as
{{{y-(-1)=(1/3)*(x-3)}}} --> {{{y+1=(1/3)x+(1/3)*(-3)}}} --> {{{y+1=(1/3)x-1}}} --> {{{y=(1/3)x-2}}}
{{{drawing(300,300,-5,5,-5,5,
grid(1),
blue(circle(-3,-3,0.2)),blue(circle(3,-1,0.2)),
green(line(-6,-4,6,0))
)}}}
The slope-intercept form of the line (the form that starts with y=...) is
{{{y=(1/3)x-2}}}
The area shaded above that line represents {{{highlight(y>(1/3)x-2)}}}