General equation of line :
[tex]y=mx+c[/tex]Where,
[tex]\begin{gathered} m\text{ = slope} \\ c\text{ = intercept } \end{gathered}[/tex]Line pass through the point (-4,-6).
Slope of line is -2.
So:
[tex]\begin{gathered} y=mx+c \\ m=-2 \\ \text{ line pass = (-4,-6)} \\ -6=-2(-4)+c \\ -6=8+c \\ c=-6-8 \\ c=-14 \end{gathered}[/tex]So the equation of line is:
[tex]\begin{gathered} y=mx+c \\ y=(-2)x+(-14) \\ y=-2x-14 \end{gathered}[/tex]
