Respuesta :

Let:

[tex]\begin{gathered} (x1,y1)=(4,-7) \\ m=slope=-\frac{1}{2} \end{gathered}[/tex]

Using the point-slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-(-7)=-\frac{1}{2}(x-4) \\ y+7=-\frac{1}{2}x+2 \\ y=-\frac{1}{2}x-5 \end{gathered}[/tex]