First, we need to find the slope m using the following equation:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ where: \\ (x1,y1)=(0,3) \\ (x2,y2)=(-9,-7) \\ so: \\ m=\frac{-7-3}{-9-0}=-\frac{10}{-9}=\frac{10}{9} \end{gathered}[/tex]Now, using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-3=\frac{10}{9}(x-0) \\ y-3=\frac{10}{9}x \\ Solve_{\text{ }}for_{\text{ }}y: \\ y=\frac{10}{9}x+3 \\ Answer: \\ y=\frac{10}{9}x+3 \end{gathered}[/tex]