Q. 134.0( 6 Votes )

Find the equation

Answer :


Given: The line perpendicular to the line passing through ( - 2,3) and (4, - 5) has the y - intercept of - 3.


Formula to be used: If (a,b) and (c,d) are two points then the equation of the line passing through them is


Product of slopes of two perpendicular lines = - 1


The equation of the line joining points ( - 2,3) and (4, - 5) is




or,3y + 15 = - 4x + 16 or, 4x + 3y = 1


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)


But, the y - intercept is - 3.


The required line is


i.e. 3x - 4y = 12


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