# Find the equation of the the line perpendicular to the line (2,3) and 2y= 6-3x

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Find the equation of the the line perpendicular to the line (2,3) and 2y= 6-3x

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Step 1

Given,

The required equation of the line passes through the point (2, 3) and perpendicular to the line 2y = 6 - 3x.

Now,

Let the slope of the required line be m.

Now, writing the equation of the line 2y = 6 - 3x in slope-form, we get help_outlineImage Transcriptionclose2у %3D 6 Зх x 3 2. 3у 3D So, slope of the line 2y = 6 - 3x is -3/2. Since, required line is perpendicular to the line 2y 6- 3x ()- 1 :. т х m= fullscreen
Step 2

Therefore, required equat... help_outlineImage Transcriptioncloseу -3 %3D (х — 2) 2х 4 —у- 3 %3 3 3 2х 4 3 3у- 3 2х зу с fullscreen

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### Equations and In-equations 