Answer:
A. y<-1/5x+1
Explanation:
First, find the slope of the line
delta y / delta x = slope (delta means "change in", so delta y would the the change in y)
the change in y is 1, and the change in x is -5, so the slope is -1/5
we now know that the equation of the line is
y=-1/5x+1
The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true
Right now, we have:
y[?]-1/5x+1, where "[?]" is either > or <
we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true
plug in:
0[?]-(1/5)*0+1
0[?]1
clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation
y<-1/5x+1 , or "A"