Question 346714
 1 x + 3y + 1=0
3y=-x-1
y=-x/3-1/3 (red line). Slope=-1/3
(-1,-4) and perpendicular.
The perpendicular line will have a slope=3
Y=mX+b
-4=3*-1+b
-4=-3+b
b=-4+3
b=-1 the Y intercept.
Y=3X-1 answer. (green line)
{{{ graph( 300, 300, -6, 5, -6, 5, -x/3 -1/3, 3x -1) }}} (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -x/3 -1/3 and 3x -1).