The slope-intercept form generally can be represented as;
[tex]y\text{ = mx + c}[/tex]where m represents the slope and c is the y-intercept
So in this case, we have to make y the subject of the formula;
3x + 4y = 4 will be
4y = 4-3x
4y = -3x + 4
we now need to make y the subject of the formula;
[tex]\begin{gathered} \frac{4y}{4}\text{ = }\frac{-3x}{4}\text{ + }\frac{4}{4} \\ \\ y\text{ = }\frac{-3}{4}x\text{ + 1} \end{gathered}[/tex]