Answer: The correct option is
(A)
![y+5=2(x+2).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yqjo89m724tl8ybu70agaozry4r9yv48c5.png)
Step-by-step explanation: We are given to use the co-ordinates of the labelled point to find a point-slope equation of the graphed line.
We note from the graph that
the co-ordinates of the labelled point are (-2, -5) and one of the other points that lies on the line is (0, -1).
Since the labelled point also lie on the line, so the slope of the graphed line will be
![m=(-1-(-5))/(0-(-2))=(-1+5)/(0+2)=(4)/(2)=2.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/8cpubwsdantc2h6m5bh57decz97v9j0cyn.png)
Since the line passes through the point (-2, -5), so the point slope fom of the equation of the line is given by
![y-(-5)=m(x-(-2))\\\\\Rightarrow y+5=2(x+2).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/gfqtrfj244562s8wte5g1g0de5qe5c9qof.png)
Thus, the required point-slope form of the equation of the line is
![y+5=2(x+2).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/yqjo89m724tl8ybu70agaozry4r9yv48c5.png)
Option (A) is CORRECT.