using ax + by + c, simply means make the coefficients integers only, right now we have a rational, -1/4 namely on "x", well, we can always do away with denominators by simply getting the LCD of all fractions and multiplying both of an equation by the LCD, lemme write this polynomial like an equation and let's apply the LCD.
[tex]-\cfrac{x}{4}-y+2=0\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -\cfrac{x}{4}-y+2 \right)=4(0)}\implies -x-4y+8=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{multiplying both sides by -1}}{\underset{\stackrel{\uparrow }{a}}{x}+\underset{\stackrel{\uparrow }{b}}{4} y\underset{\stackrel{\uparrow }{c}}{-8}=0}~\hfill[/tex]
without using the =0 equation we can also just write it as [tex]-4(\stackrel{}{\underset{\stackrel{\uparrow }{a}}{x}+\underset{\stackrel{\uparrow }{b}}{4} y\underset{\stackrel{\uparrow }{c}}{-8}})[/tex]
