Question

line 1: $y = -\frac{1}{3}x - 4$
line 2: $x + 3y=-12$
this system of equations is:
consistent independent
consistent dependent
inconsistent
this means the system has:
a unique solution
solution: ( , )

Explanation:

Step1: Rewrite Line 2 in slope - intercept form

$x + 3y=-12$ becomes $y=-\frac{1}{3}x - 4$, same as Line 1.

Answer:

consistent dependent
infinitely many solutions
Solution: (any real - number pair on the line)