document.write( "Question 472809: Determine whether y=-1/2x+1, y=2x+1 are parallel, perpendicular, or neither. \n" ); document.write( "

Algebra.Com's Answer #324141 by MathLover1(20850) $\"\"$ $\"About$

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$\"y=-%281%2F2%29x%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=2x%2B1\"$ .....these are equations of a line in $\"slope-intercept+\"$ form\r
\n" ); document.write( "\n" ); document.write( "so you can see from given that a slope of $\"y=-1%2F2x%2B1\"$ is $\"m=-%281%2F2%29\"$ and a slope of $\"y=2x%2B1\"$ is $\"m1=2\"$ \r
\n" ); document.write( "\n" ); document.write( "If I were to flip the \" $\"2\"$ \" and then $\"change\"$ its $\"sign\"$ , I would get \" $\"-1%2F2\"$ \". In other words, these slopes are $\"negative\"$ $\"+reciprocals\"$ , so the lines through the points are $\"perpendicular\"$ .\r
\n" ); document.write( "\n" ); document.write( "here is a proof:\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%281%2F2%29x%2B1%2C+2x%2B1%29+\"$ \n" ); document.write( "

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