Question
Wed October 03, 2012 By:
Find the inclination of the line

plz answer it fast

Expert Reply
Wed October 03, 2012

Answer : Given the equation 31/2x - 3y + 6=0

To find its inclination

We know for a line  L = Ax+By+C=0 be the general equation of a line. It is clear that the points (-C/A,0) and (0,-C/B) are on the line since they satisfy the equation of the line. Therefore, the slope of L is given by

m = ( 0 - (-C/B) ) / ( (-C/A) -0) = - A/B

and the angle of inclination, theta = tan-1(-A/B)

Therefore for the equation  31/2x - 3y + 6=0 

here A = 31/2 , B = - 3 , C = 6

the slope will be given by = -  31/2 / (-3) = 3-1/2

inclination = tan-1(  3-1/2 ) = 30 degree is the reequired inclination of the line Answer  

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