We have to calculate the equation of the line in slope-point form:
[tex]y-y_1=m(x-x_1)[/tex]The information we have is two points: (3,-5) and (1,-9).
First, we use one point to fill the spaces for (x1,y1). We pick (3,-5), but any of both will do.
Then we have:
[tex]y+5=m(x-3)[/tex]We will replace x and y with the coordinates of the second point (1,-9) in order to calculate the slope:
[tex]\begin{gathered} (-9)+5=m(1-3) \\ -4=m\cdot(-2) \\ m=\frac{-4}{-2} \\ m=2 \end{gathered}[/tex]Then, the equation becomes:
[tex]y+5=2(x-3)[/tex]