Question on STraight lines - Find the equation of the line

Let the required line be y = mx +c.

Now since the line passes through the point (-5,-4).

So, -5 = -4m + c

i.e c = -5 + 4m

So, the equation becomes, mx -y + (-5 +4m) = 0

Now this line intersects the line x + 3y + 2 = 0 at B.