Answer:
[tex]\boxed {y = -\frac{1}{2}x + 3}[/tex]
Step-by-step explanation:
Convert the equation from Standard Form to Slope-Intercept Form:
[tex]Ax + By = C[/tex] ⇒ [tex]y = mx + b[/tex]
-The following equation:
[tex]x - 2y = 6[/tex]
-Solve:
[tex]x - 2y = 6[/tex]
[tex]x - x - 2y = 6 - x[/tex]
[tex]2y = -x + 6[/tex]
[tex]\frac{2y}{2} = \frac{-x}{2} + \frac{6}{2}[/tex]
[tex]\boxed {y = -\frac{1}{2}x + 3}[/tex]
So, the equation in Slope-Intercept Form is [tex]y = -\frac{1}{2}x + 3[/tex].