Find the equation of the line passing through the point (2, 3) and perpendicular to the line 4x + 3y = 10


Given: The given line is 4x + 3y = 10. The line perpendicular to this line passes through (2,3).


Formula to be used: The product of slopes of two perpendicular lines = - 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)


This line passes through (2,3), so the point will satisfy the equation of the line.



The required equation is


or, 4y = 3x + 6 i.e. 3x - 4y + 6 = 0.


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