document.write( "Question 528477: Explain how to write an equation for the line that contains the point (2,3) and is perpendicular to the graph of x-2y=2x \n" ); document.write( "

Algebra.Com's Answer #349296 by oberobic(2304) $\"\"$ $\"About$

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A line perpendicular to x-2y = 2x will have the inverse reciprocal slope.
\n" ); document.write( "So, get this equation into slope-intercept form.
\n" ); document.write( "x -2y = 2x
\n" ); document.write( "-2y = x
\n" ); document.write( "y = -(1/2)x
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\n" ); document.write( "The perpendicular line will have slope of 2.
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\n" ); document.write( "y = 2x +b
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\n" ); document.write( "Use the point you want to go through to find 'b'.
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\n" ); document.write( "3 = 2(2) + b
\n" ); document.write( "b = -1
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\n" ); document.write( "y = 2x-1
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\n" ); document.write( "In the following graph,
\n" ); document.write( "the red line is y = -1/2*x
\n" ); document.write( "the green line is y = 2x-1
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\n" ); document.write( " $\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-1%2F2%2Ax%2C2%2Ax-1%29+\"$ \n" ); document.write( "

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