Answer: [tex]y=\frac{1}{4}x+1[/tex]
Step-by-step explanation:
[tex]x-4y=4\\\\4y-x=-4\\\\4y=x-4\\\\y=\frac{1}{4}x-1[/tex]
The slope of the given line is 1/4, so since parallel lines have the same slope, point-slope form gives us that the equation is
[tex]y+1=\frac{1}{4}(x+8)\\\\[/tex]
Rearranging into slope-intercept form,
[tex]y+1=\frac{1}{4}x+2\\ \\ y=\frac{1}{4}x+1[/tex]
