the equation is written in slope intercept form
y= mx + b with m= slope and b= y-intercept
so in your equation
y=2/3x + 1,
the slope is 2/3 and the y-intercept is (0,1)
slope is also known as rise/run
so to move from one point to another, starting at (0,1) (since you know that point is on the line) you would move up 2 units and to the left 3 units.
hope this helped!