The correct answer is B.
First I found the slope using the given coordinate (-2,-5) and I picked the other by looking at the graph and choosing a point clearly marked. I chose (0,-1).
slope is the change in y over the change in x.
Y2-Y1 / X2-X1
(-1 - (-5)) / (0-(-2))
Watch your signs! The two negatives become positive here.
The slope is 4/2, or just 2.
Now, the next thing you need to know is point slope form.
Y - Y1 = M(X-X1)
Y-(-5)=2(X-(-2))
Again, watch signs!
This becomes:
y + 5 = 2(x+2)
