The slope intercept form : y = mx + b
The given equation : -4x + 2y = 12
to write the equation in the slope intercept form, Simplify the equation for y
[tex]\begin{gathered} -4x\text{ + 2y =12} \\ \text{Add 4x on both side} \\ 4x-4x+2y=12+4x \\ 2y=12\text{ +4x} \\ \text{Divide both side by 2} \\ \frac{2y}{2}=\frac{12}{2}+\frac{4x}{2} \\ y=6+2x \\ y=2x+6 \end{gathered}[/tex]
The slope intercept form is y = 2x + 6
Answer : y = 2x + 6
