in the equation 3y - x=2

what is the slope of the line of this equation?

Using the equation y=mx+b you have to solve 3y-x=2 for Y.
M stands for slope and Y stands for Y intercept
Doing that I get y = 1/3x + 2/3

I hope that's what you are looking for!

Put it in point slope form:

y= 1/3 x + 2/3

The coefficent of x is the clope

To determine the slope of the line in the equation 3y - x = 2, we need to rearrange the equation in slope-intercept form, which is y = mx + b.

Starting with the given equation:
3y - x = 2

First, isolate the y-term by adding x to both sides:
3y = x + 2

Then, divide both sides by 3 to solve for y:
y = (1/3)x + 2/3

Now, the equation is in the form y = mx + b, where m represents the slope of the line. In this case, the coefficient of x, which is 1/3, represents the slope.

Therefore, the slope of the line in the equation 3y - x = 2 is 1/3.