Answer: The correct option is (B) [tex]y-3=-(x+5).[/tex]
Step-by-step explanation: We are given to match the graph shown with the correct equation.
From the graph, we note that
(-5, 3) and (0, -2) are two points that lie on the line graph.
So, the slope of the given graph is
[tex]m=\dfrac{-2-3}{0-(-5)}\\\\\\\Rightarrow m=\dfrac{-5}{5}\\\\\Rightarrow m=-1.[/tex]
Since the point (-5, 3) lies on the line, so its equation in point-slope form will be
[tex]y-3=m(x-(-5))\\\\\Rightarrow y-3=-(x+5).[/tex]
Thus, option (B) is CORRECT.