Answer:
y -1 = 6(x +4)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k). You have m=6, (h, k) = (-4, 1), so your equation is ...
y -1 = 6(x -(-4))
This simplifies to ...
y -1 = 6(x +4)