Q. 124.7( 7 Votes )

Find the equation

Answer :


Given: The given line is 3x + 2y = 8. The perpendicular line passes through the midpoint of (6,4) and (4, - 2).


Formulae to be used: The product of slopes of two perpendicular lines = - 1.


If (a,b) and (c,d) be two points, then their midpoint is given by


The slope of this line is .


the slope of the perpendicular line =


The equation of the line can be written in the form


(c is the y - intercept)


This line passes through the midpoint of (6,4) and (4, - 2).


The co - ordinates of the midpoint of the line joining the given points is


(5,1) satisfies the equation



The required equation is


i.e. 2x - 3y = 7


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