document.write( "Question 461656: Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?
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\n" ); document.write( "Choose one answer a. y = 2/3x - 2
\n" ); document.write( " b. 6x -3y = 9
\n" ); document.write( " c. 2x + 4y = -1
\n" ); document.write( " d. y = -2x + 8
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Algebra.Com's Answer #316549 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Which equation has a graph that is perpendicular to the graph of \"4x+-+2y+=+1\"?
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\n" ); document.write( "Choose one answer a. \"y+=+%282%2F3%29x+-+2+\"
\n" ); document.write( " b. \"6x+-3y+=+9+\"
\n" ); document.write( " c. \"2x+%2B+4y+=+-1\"
\n" ); document.write( " d. \"y+=+-2x+%2B+8+\"\r
\n" ); document.write( "\n" ); document.write( "first write them all in \"slope-intercept\" form \"y=mx%2B-b\": \r
\n" ); document.write( "\n" ); document.write( "\"4x+-+2y+=+1\".......->...\"4x+-+1+=+2y\".....->...\"2x+-+1%2F2+=+y\"...\"slope-intercept\" form\r
\n" ); document.write( "\n" ); document.write( "the \"slope\" is \"m=2\"\r
\n" ); document.write( "\n" ); document.write( "equation has a graph that is perpendicular to the graph of \"2x+-+1%2F2+=+y\" has to have a slope \"m1\" an negative inverse of \"m\" which is \"m1=-1%2Fm\"\r
\n" ); document.write( "\n" ); document.write( "\"m1=-1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "let's see which choice is right answer:\r
\n" ); document.write( "\n" ); document.write( "a. \"y+=+%282%2F3%29x+-+2+\" ...\"slope-intercept\" form
\n" ); document.write( "b. \"6x+-3y+=+9+\" ... \"6x+-9+=3y+\".. \"2x+-3+=y+\"..\"slope-intercept\" form\r
\n" ); document.write( "\n" ); document.write( "c. \"2x+%2B+4y+=+-1\" ..\"2x+%2B+1+=+-4y\"..\"2x%2F-4+%2B+1%2F-4+=+y\"..\"-%281%2F2%29x+-+1%2F4+=+y\"..
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\n" ); document.write( "d. \"y+=+-2x+%2B+8+\"...\"slope-intercept\" form\r
\n" ); document.write( "\n" ); document.write( "as you can see, your answer is c. \"2x+%2B+4y+=+-1\"\r
\n" ); document.write( "\n" ); document.write( "let's see it on a graph:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x+-+1%2F2%2C+-%281%2F2%29x+-+1%2F4+%29+\"\r
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