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find the equation of the line through intersection of the lines 2x-3=4 and y=x+2, passing through the point (-4,4)

 Jan 12, 2016

Best Answer 

 #1
avatar+3146 
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solve( 2x-3=4, y=x+2 )  =>    {x=(7/2), y=(11/2)}

 

http://en.wikipedia.org/wiki/Line_(geometry)

 

with \(P_0 = ( x_0, y_0 )\)  and  \(P_1 = (x_1, y_1)\) the equation for the line passing through P0 and P1 is:

 

\((y - y_0)(x_1 - x_0) = (y_1 - y_0)(x - x_0)\)


or
 

\(y=x\,\frac{y_1-y_0}{x_1-x_0}+\frac{x_1y_0-x_0y_1}{x_1-x_0}\,.\)

 Jan 12, 2016
 #1
avatar+3146 
+10
Best Answer

solve( 2x-3=4, y=x+2 )  =>    {x=(7/2), y=(11/2)}

 

http://en.wikipedia.org/wiki/Line_(geometry)

 

with \(P_0 = ( x_0, y_0 )\)  and  \(P_1 = (x_1, y_1)\) the equation for the line passing through P0 and P1 is:

 

\((y - y_0)(x_1 - x_0) = (y_1 - y_0)(x - x_0)\)


or
 

\(y=x\,\frac{y_1-y_0}{x_1-x_0}+\frac{x_1y_0-x_0y_1}{x_1-x_0}\,.\)

admin Jan 12, 2016

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