Slope of a line


   
 
Slope
Slope of a line
 
The slope of a line is defined as the tangent of the angle made by the line with the x-axis in the positive direction (anti-clockwise).
 
If q is the smallest positive angle made by the line with the x-axis, then
 
Slope = tanq = m.
 
The slope of line passing through two points A (x1,y1) and B (x2,y2).
 
 
From the above figure,
 
 
(Regardless of the quadrants in which the A and B lie.)
 
Example:
 
Find the slope and the angle of inclination q of the lines through the pairs of points (-7,-3) and (6,10).
 
Suggested answer:
 
Points are (-7,-3) and (6,10).
 
Slope is
 
 
Angle is
 
 
 
     
   
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