Final answer:
The equation of the line is y - 4 = -2(x + 1).
Step-by-step explanation:
The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the slope is -2 and the point (-1,4) lies on the line.
Therefore, the equation of the line in point-slope form is y - 4 = -2(x - (-1)), which simplifies to y - 4 = -2(x + 1).