document.write( "Question 530426: The graph of the following system yields perpendicular lines.
\n" ); document.write( "x + 2y = -10
\n" ); document.write( "-4y = 2x + 20
\n" ); document.write( "true or false? \n" ); document.write( "

Algebra.Com's Answer #350049 by oberobic(2304) $\"\"$ $\"About$

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Get both equations into slope-intercept form and determine if their slopes are inverse reciprocals.
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\n" ); document.write( "x +2y = -10
\n" ); document.write( "2y = -x -10
\n" ); document.write( "y = -1/2*x -5
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\n" ); document.write( "-4y = 2x + 20
\n" ); document.write( "y = -2/4*x + 20/-4
\n" ); document.write( "y = -1/2*x - 5
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\n" ); document.write( "The lines' slopes are equal, so the lines are parallel.
\n" ); document.write( "In fact, the lines lie one on top of the other such that they appear to be same line.
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\n" ); document.write( "Answer: False. The lines are not perpendicular.
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\n" ); document.write( "The graph is useful.
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\n" ); document.write( " $\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2F2%2Ax-5%2C+-1%2F2%2Ax-5%29+\"$
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\n" ); document.write( "Done. \n" ); document.write( "

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