Direct linear plot

<p>In biochemistry, the direct linear plot is a graphical method for <a href="/facts/Enzyme_kinetics/LJ0lWoMc">enzyme kinetics</a> data following the <a href="/facts/Michaelis%25E2%2580%2593Menten_equation/lYFykW3p">Michaelis–Menten equation</a>. In this plot, observations are not plotted as points, but as <i>lines</i> in parameter space with axes 
  
    
      
        
          K
          
            
              m
            
          
        
      
    
    {\displaystyle K_{\mathrm {m} }}
  
 and 
  
    
      
        V
      
    
    {\displaystyle V}
  
, such that each observation of a rate 
  
    
      
        
          v
          
            i
          
        
      
    
    {\displaystyle v_{i}}
  
 at substrate concentration  
  
    
      
        
          a
          
            i
          
        
      
    
    {\displaystyle a_{i}}
  
 is represented by a straight line with intercept 
  
    
      
        −
        
          a
          
            i
          
        
      
    
    {\displaystyle -a_{i}}
  
 on the 
  
    
      
        
          K
          
            
              m
            
          
        
      
    
    {\displaystyle K_{\mathrm {m} }}
  
 axis and 
  
    
      
        
          v
          
            i
          
        
      
    
    {\displaystyle v_{i}}
  
 on the 
  
    
      
        V
      
    
    {\displaystyle V}
  
 axis. Ideally (in the absence of experimental error) the lines intersect at a unique point 
  
    
      
        (
        
          
            
              
                K
                ^
              
            
          
          
            
              m
            
          
        
        ,
        
          
            
              V
              ^
            
          
        
        )
      
    
    {\displaystyle ({\hat {K}}_{\mathrm {m} },{\hat {V}})}
  
 whose coordinates provide the values of 
  
    
      
        
          
            
              
                K
                ^
              
            
          
          
            
              m
            
          
        
      
    
    {\displaystyle {\hat {K}}_{\mathrm {m} }}
  
 and 
  
    
      
        
          
            
              V
              ^
            
          
        
      
    
    {\displaystyle {\hat {V}}}
  
.
</p>

Direct linear plot open-in-new

Direct linear plot