Compare the equations and graphs of lines after vertical shifts in this activity. 
    
        
     
    
    
            [i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
    
        
     
    
    
            
            
The equations of two lines are [math]y=\frac{2}{3}x[/math] and [math]y=\frac{2}{3}x-4[/math]. How would the graphs of these lines be the same? How would they be different?[br]
    
    
         
    
        
     
    
    
            
            
Write the equation of a line with a [math]y[/math]-intercept of [math]\left(0,-12\right)[/math].