Parallel lines have the same slope.
The given line:
[tex]y=-4x+5[/tex]
has a slope of -4.
Then, a line parallel to it has also a slope of -4.
Slope (m): -4
Point: (-2,-1)
Equation in point slope form:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-(-1)=-4(x-(-2)) \\ y+1=-4(x+2) \end{gathered}[/tex]
Then, the equation of the line is:
[tex]y+1=-4(x+2)[/tex]
