Answer
$y=-3x+1$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
Passes through the point $(-1,4)$, and has a slope of -3,
To find the equation of the line we use point slope form: $y - y_1 = m(x-x_1)$
$x_1 = -1$
$y_1 = 4$
$m=-3$
$y - 4 = 6(x - (-1))$
$y = -3x -3 +4$
$y =-3x +1$