Q. 165.0( 2 Votes )

Find the equation

Answer :

Given: equation is perpendicular to and it meets the y-axis.


To find:


The equation of a line drawn perpendicular to the line through the point where it meets the y-axis.


Explanation:


Let us find the intersection of the line with y-axis.


At x = 0,



y = 6


Thus, the given line intersects y-axis at (0, 6).


The line perpendicular to the line is



This line passes through (0, 6).



λ


Now, substituting the value of λ, we get:



2x -3y + 18 = 0


Hence, the equation of the required line is 2x -3y + 18 = 0


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