First let's find the slope of the straight line
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ \\ m=\frac{-13-1}{6-4} \\ m=\frac{-14}{2} \\ m=-7 \end{gathered}[/tex]Now let's calculate the intersection
[tex]\begin{gathered} b=y-mx \\ b=1-(-7)(4) \\ b=1+28 \\ b=29 \end{gathered}[/tex][tex]y=-7x+29[/tex]The full equation would be y=-7x+29