Answer :

Given the equation :

[tex]y+\frac{1}{4}x=3[/tex]

It is required to make the equation in the form :

[tex]y=m\cdot x+b[/tex]

So, solve the given equation for y ( make y alone on the left side )

We need to eliminate the term (1/4)x

as the term (1/4)x was added to y , so we need to subtract this term from both sides

So,

[tex]y+\frac{1}{4}x-\frac{1}{4}x=-\frac{1}{4}x+3[/tex][tex]y=-\frac{1}{4}x+3[/tex]