The slope is given as 1.
The Y-intercept is where the line crosses the Y axis when X is 0. This is also given by the point (0,5/6). X is 0 and Y is 5/6, so the Y-intercept is 5/6.
The equation of a line is given as y = mx +b where m is the slope and b is the y-intercept.
The equation is: y = x +5/6