# Determine the equation of the line that contains the point (2, -3) and is perpendicular to the line 2 x + y = 6.

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Determine the equation of the line that contains the point (2, -3) and is perpendicular to the line 2 x + y = 6.

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Step 1

Given:

Step 2

Calculation:

To find the equation of the line: help_outlineImage TranscriptioncloseFirst, we have to find the slope of the given line: 2x + y = 6 y =-2x +6...(1) The slope-intercept form is y= mx + c...(2), where the slope is m and cis the y-intercept. fullscreen
Step 3 help_outlineImage TranscriptioncloseComparing equation (1) and (2), we get :-2 But given that the line perpendicular to the given line. So that, 1 (Using m,m, = -1) %3D fullscreen

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