Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Start by writing the equation out as it is given in the question (in this case, in standard form).
[tex]3x-6y=18[/tex]
Next, subtract [tex]3x[/tex] from both sides.
[tex]3x-3x-6y=18-3x\\-6y=18-3x[/tex]
Switch around the [tex]18[/tex] and the [tex]-3x[/tex].
[tex]-6y=-3x+18[/tex]
Finally, divide the equation by [tex]-6[/tex] to get rid of the [tex]y-variable[/tex] coefficient, which is [tex]-6[/tex].
[tex]\frac{-6y}{6}=\frac{-3x+18}{-6}\\y=\frac{1}{2}x-3[/tex]
As shown in that last step, the equation is slope intercept form is: [tex]y=\frac{1}{2}x-3[/tex]
