A linear equation in slope-intercept form is represented by the following expression:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]To write the expression in slope-intercept form we must isolate the variable y:
[tex]\begin{gathered} y-20=2(x-4) \\ y-20=2x-8 \\ y=2x-8+20 \\ y=2x+12 \end{gathered}[/tex]