Let:
[tex]\begin{gathered} (x1,y1)=(1,-3) \\ (x2,y2)=(7,9) \end{gathered}[/tex]
the slope m is given by:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{9-(-3)}{7-1} \\ m=\frac{12}{6} \\ m=2 \end{gathered}[/tex]
Using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-(-3)=2(x-1) \\ (y+3)=2(x-1) \end{gathered}[/tex]
