document.write( "Question 1152679: If the parallel sides of a trapezoid contained by the lines y = 2x + 7 and y = 2x - 4, what equation represents the line contained by the midsegment? Please show work, it is for a geometry quiz. Thanks :) \n" ); document.write( "

Algebra.Com's Answer #774749 by MathLover1(20849) $\"\"$ $\"About$

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given that\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+2x+%2B+7+\"$
\n" ); document.write( " $\"+y+=+2x+-+4\"$ are parallel lines\r
\n" ); document.write( "\n" ); document.write( "the line contained by the midsegment is also $\"parallel\"$ to lines above and positioned in the $\"middle\"$ between them, only difference in equation is in y-intercept ( $\"0\"$ , $\"y\"$ )\r
\n" ); document.write( "\n" ); document.write( "so, the equation will be $\"+y+=+2x+%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( "find $\"b\"$ \r
\n" ); document.write( "\n" ); document.write( "it will be half distance between ( $\"0\"$ , $\"-4\"$ ) and ( $\"0\"$ , $\"7\"$ ) which is $\"%284%2B7%29%2F2=5.5\"$ units\r
\n" ); document.write( "\n" ); document.write( "so, $\"5.5\"$ units up from ( $\"0\"$ , $\"-4\"$ ) ; ( $\"0\"$ , $\"-4%2B5.5\"$ ) =( $\"0\"$ , $\"1.5\"$ )\r
\n" ); document.write( "\n" ); document.write( "or, $\"5.5\"$ units down from ( $\"0\"$ , $\"7\"$ ) ; ( $\"0\"$ , $\"7-5.5\"$ ) =( $\"0\"$ , $\"1.5\"$ ) \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+2x+%2B+1.5+\"$ => your equation\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C2x+-4+%2C2x+%2B7%2C+2x+%2B+1.5%29+\"$ \r
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