document.write( "Question 1001962: Given the two lines
\n" ); document.write( "• 2x − y = −8
\n" ); document.write( "• x + 2y = 10
\n" ); document.write( "determine which of the following best describes their relationship to each other.
\n" ); document.write( "A. parallel
\n" ); document.write( "B. perpendicular
\n" ); document.write( "C. congruent
\n" ); document.write( "D. skew
\n" ); document.write( "E. none of the above\r
\n" ); document.write( "\n" ); document.write( "Please explain.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #618994 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"2x-+y+=+-8\"
\n" ); document.write( "\"x+%2B+2y+=+10\"
\n" ); document.write( "--------------------
\n" ); document.write( "write both in slope-intercept form \"y=ax%2Bb\" where \"a\" is a slope and \"b\" is y-intercept\r
\n" ); document.write( "\n" ); document.write( "recall that:
\n" ); document.write( "parallel lines have \"same\" slope
\n" ); document.write( "perpendicular lines have slopes negative reciprocal of each other\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B8+=+y\"=>\"a=2\"
\n" ); document.write( "\"y+=-%281%2F2%29x%2B+5\"=>\"a=-%281%2F2%29\"
\n" ); document.write( "--------------------\r
\n" ); document.write( "\n" ); document.write( "since \"a=2\" is negative reciprocal of \"a=-%281%2F2%29\", your lines are perpendicular\r
\n" ); document.write( "\n" ); document.write( "here is a graph:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F2%29x%2B+5%2C+2x%2B8%29+\"\r
\n" ); document.write( "\n" ); document.write( "and, your answer is: B. \"perpendicular\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );