Let:
[tex]\begin{gathered} (x1,y1)=(4,-2) \\ (x2,y2)=(-4,-4) \end{gathered}[/tex]The slope of the line is given by:
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-4-(-2)}{-4-4}=\frac{-2}{-8}=\frac{1}{4}[/tex]Using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y+2=\frac{1}{4}(x-4) \\ y+2=\frac{1}{4}x-1 \\ y=\frac{1}{4}x-1-2 \\ y=\frac{1}{4}x-3 \end{gathered}[/tex]Answer:
A) y = 1/4x - 3
