As a first step to find the equation of the line, we must calculate the slope of the line:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-5}{4-(-4)}=-\frac{6}{8}=-\frac{3}{4} \end{gathered}[/tex]
Then by the slope-point form of a line, we can find the equation:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-5=-\frac{3}{4}(x+4) \\ y-5=-\frac{3}{4}x-3 \\ y=-\frac{3}{4}x-3+5 \\ y=-\frac{3}{4}x+2 \end{gathered}[/tex]
