Explanation:
A line parallel to the given line will have the same slope: -2
The equation of the line has this form:
[tex]y=-2x+b[/tex]To find the y-intercept b we use the point. Replace x = -4 and y = 1 into the expression above and solve for b:
[tex]\begin{gathered} 1=-2(-4)+b \\ 1=8+b \\ b=\frac{1}{8} \end{gathered}[/tex]Answer:
The equation of the line is:
[tex]y=-2x+\frac{1}{8}[/tex]