Hello!
To find the y-intercept of any given equation, we will need to substitute zero into any x-value. 
y = 7/6x - 8/3 (substitute x = 0) 
y = 7/6(0) - 8/3 (multiply) 
y = -8/3 
Since x was substituted as zero, the ordered pair should look like (0, y), where y is the y-intercept. 
Therefore, the y-intercept of the given equation is (0, -8/3).