Given the following system of equation:
4x + 2y = 12
For it to be in a standard slope-intercept form, the equation must be similar to this one:
[tex]\text{ y = mx + b}[/tex]We get,
[tex]\begin{gathered} \text{ 4x + 2y = 12} \\ \text{ 4x + 2y - 4x = 12 - 4y} \\ \text{ 2y = -4x + 12} \\ \text{ }\frac{2y}{2}\text{ = }\frac{\text{-4x + 12}}{2} \\ \text{ y = -2x + 6} \end{gathered}[/tex]Therefore, the slope-intercept form of 4x + 2y = 12 is y = -2x + 6.
