[tex]\begin{gathered} \text{The equation of a line in point-slope form is} \\ y-y_1=m(x-x_1)_{} \\ \text{where} \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex][tex]\begin{gathered} \text{ In this case, we have that} \\ (x_1,y_1_{})=(-4,6) \\ (x_2,y_2)=(-2,5) \\ \end{gathered}[/tex][tex]\begin{gathered} \text{ So} \\ m=\frac{5-6}{-2-(-4)} \\ =\frac{-1}{2} \\ m=-\frac{1}{2} \end{gathered}[/tex][tex]\begin{gathered} \text{ Thus, the equation of the line is} \\ y-6=-\frac{1}{2}(x+4) \end{gathered}[/tex]
