Equation of a line in Slope-Intercept form


   
 
Equation of a line in Slope-Intercept form
 
Let LM be the given line with inclination q and intersecting the y-axis at C, so that OC = c.
 
Let tan q = m.
 
Let P (x, y) be any point on the line LM.
 
Draw PQ perpendicular to x-axis and CH perpendicular to PQ.
 
 
From the right-angled triangle PCN, we have
 
 
 
 
 
which is the required equation of line.
 
 
 
     
   
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