The standard form of the slope intercept equation is written as
y = mx + b
Where m = slope and b = intercept
[tex]\begin{gathered} (y\text{ - 1) = }\frac{1}{2}(x\text{ - 6)} \\ \text{Firstly, open the parentheses} \\ y\text{ - 1 = }\frac{1}{2}\cdot\text{ x - }\frac{1}{2}\cdot\text{ 6} \\ y\text{ - 1 = }\frac{1}{2}x\text{ - }\frac{6}{2} \\ y\text{ - 1 = }\frac{1}{2}x\text{ - 3} \\ \text{Isolate y} \\ y\text{ = }\frac{1}{2}x\text{ - 3 + 1} \\ y\text{ = }\frac{1}{2}x\text{ - 2} \end{gathered}[/tex]