The slope can be found below
(-2,6)(4, 3)
[tex]\begin{gathered} m=\frac{3-6}{4+2} \\ m=-\frac{3}{6} \\ m=-\frac{1}{2} \end{gathered}[/tex]
The equation can be represented as
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-6=-\frac{1}{2}(x+2) \end{gathered}[/tex]
or
[tex]\begin{gathered} y-y_2=m(x-x_2) \\ y-3=-\frac{1}{2}(x-4) \end{gathered}[/tex]
