Question 1166805
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Find the slope of the given line.


Calculate the negative reciprocal of the slope of the given line which is the slope of any line perpendicular to the given line.


Use the slope of the perpendicular and the given point in the Point-Slope form of an equation of a line:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m_{\text{perp}}(x\ -\ x_1)]


to derive an equation of the line perpendicular to the given line that passes through the given point.


Solve the 2X2 system of equations consisting of the equation of the given line and the derived equation of the perpendicular line to find the point of intersection of the two lines.


Use the distance formula to calculate the distance from the given point to the point of intersection of the given line and the perpendicular through the given point.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ \sqrt{ (x_1\,-\,x_2)^2\ +\ (y_1\,+\,y_2)^2}]


																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish]


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*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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