-3y = 6 – x

then you divide(or multiply) all sides by -1 which gives 3y = -6 + x which looks nicer written as: 3y = x – 6, and finally you divide through by 3 to give you your answer which is: y = x/3 – 2.

Hope you understand my workings.

-you need the y to be placed at the left side of the equation and the rest at the right side

-3y = -x + 6

-you can see that the y has still a coefficient, and still negative sign. You must eliminate those to make the equation in slope-intercept form or y = mx + b

(-1/3) -3y = -x + 6 (-1/3)

-you can eliminate the coefficient and the negative sign of the ”y” by multiplying both sides of the equation by -1/3 or you can just simply divide both sides of the equation by -3. Anyway, both of them has the same result.

-after simplifying the equation, the final answer is:

y = 1/3x – 2

Therefore, x – 3y = 6, if changed to the slope-intercept form (y = mx + b), will result to y = 1/3x – 2 (it can also be: y = x/3 – 2)

🙂

So its obvious that the ‘y’ unknown has to stay put. So you bring everything without ‘y’ to the other side.

x – 3y = 6

-3y = 6 – x

y = 6/3 – x/3

y = -x/3 + 2

Therefore m = -1/3, b =2.

y=(x/3) – 2

x – 6 = 3y

y = x – 6 / 3