Answer:
[tex]y = -\frac{5}{4}x -4[/tex]
Step-by-step explanation:
Parallel lines have the same slope. The slope of this line is m from y=mx+b. So here the slope is -5/4. Use this slope and a point (-4,1) in the point slope form to write the equation of the line.
[tex]y-y_1 = m(x-x_1)\\y-1 = -\frac{5}{4}(x+4)[/tex]
This is the equation of the line. It simplifies to:
[tex]y-1 = -\frac{5}{4}(x+4)\\y - 1 = -\frac{5}{4}x -5\\y = -\frac{5}{4}x -4[/tex]
