The equation of a line is of the form y = mx + b
where m is the slope amd c is the y-intercept
[tex]\begin{gathered} a)\text{ 2y = -3x + 4} \\ \text{Divide through by 2} \\ \frac{2y}{2}\text{ = }\frac{-3}{2}x\text{ + }\frac{4}{2} \\ y\text{ = }\frac{-3}{2}x\text{ +}2 \\ b)\text{ 8 + 2y = x} \\ 2y\text{ = x - 8} \\ y\text{ = }\frac{1}{2}x\text{ - }\frac{8}{2} \\ y\text{ = }\frac{1}{2}x\text{ - 4} \\ c)\text{ -4y + 3x = 4} \\ 4y\text{ = 3x - 4} \\ \text{Divide through by 4} \\ \frac{4y}{4}=\text{ }\frac{3}{4}x\text{ - }\frac{4}{4} \\ y\text{ = }\frac{3}{4}x\text{ - 1} \end{gathered}[/tex]