Final answer:
The point-slope form of the equation of a line can be used to find the equation when given the slope and a point. In this case, the equation is y - 1 = -6(x + 4).
Step-by-step explanation:
To write the equation of a line in point-slope form, you need the slope of the line and the point that the line passes through. In this case, the slope is given as -6, and the line passes through the point (-4, 1). The point-slope form of the equation is y - y1 = m(x - x1). Substituting the values into the equation, we get:
y - 1 = -6(x - (-4))
y - 1 = -6(x + 4)