Finding the Equation of a Line Perpendicular to Through
To find the equation of a line perpendicular to that passes through the point , recognize that the given line is horizontal. Any line perpendicular to a horizontal line must be vertical, taking the form .
Since the perpendicular line is vertical and passes through , every point on it shares the same x-coordinate of . Therefore, the equation of the perpendicular line is:
Note that vertical lines cannot be written in slope-intercept form because their slope is undefined. This example illustrates the companion special case to perpendiculars of vertical lines: when the given line is horizontal, the perpendicular is vertical and is determined entirely by the x-coordinate of the given point.
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Finding the Equation of a Line Perpendicular to Through
Finding the Equation of a Line Perpendicular to Through
Finding the Equation of a Line Perpendicular to Through
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Finding the Equation of a Line Perpendicular to Through
Finding the Equation of a Line Perpendicular to Through
Finding the Equation of a Line Perpendicular to Through
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