How do you get : x=1/3y+2 in the y=mxtb form ?

do you mean y = mx + b form

what is "mxtb"

yes mx + B

x=1/3y+2

solve for y
x = 1/3y + 2
3x = y + 2
y = 3x - 2

To convert the equation x = (1/3)y + 2 into the y = mx + b form, where m represents the slope and b represents the y-intercept, you need to isolate y on one side of the equation. Here's how you can do it step by step:

1. Start with the given equation: x = (1/3)y + 2.

2. Subtract 2 from both sides of the equation to move the constant term to the other side: x - 2 = (1/3)y.

3. To solve for y, multiply both sides of the equation by 3 to eliminate the fraction: 3(x - 2) = 3(1/3)y.

4. Simplify the equation: 3x - 6 = y.

5. Rearrange the equation to match the y = mx + b form: y = 3x - 6.

So, the equation x = (1/3)y + 2 can be rewritten as y = 3x - 6 in the y = mx + b form.