ANSWER:
[tex]y=x-8[/tex]STEP-BY-STEP EXPLANATION:
We have that the equation in its slope and point form is the following:
[tex]y-y_1=m\cdot(x-x_1)[/tex]We replace and write the equation in its intercept slope form (y = mx + b), just like this:
[tex]\begin{gathered} y-(-12)=1\cdot(x-(-4)) \\ y+12=x+4 \\ y=x+4-12 \\ y=x-8 \end{gathered}[/tex]The equation is:
y = x - 8