Question

3x-6y=18 slope intercept form

Answer 1

y = 1/2x - 3.

Explanation:

3x - 6y = 18

-6y = -3x + 18

Divide through by -6:

y = 1/2x - 3.

Answer 2

`y=(1)/(2)x-3`

Explanation:

Start by writing the equation out as it is given in the question (in this case, in standard form).

`3x-6y=18`

Next, subtract
`3x` from both sides.

`3x-3x-6y=18-3x\\-6y=18-3x`

Switch around the
`18` and the
`-3x`.

`-6y=-3x+18`

Finally, divide the equation by
`-6` to get rid of the
`y-variable` coefficient, which is
`-6`.

`(-6y)/(6)=(-3x+18)/(-6)\\y=(1)/(2)x-3`

As shown in that last step, the equation is slope intercept form is:
`y=(1)/(2)x-3`