document.write( "Question 239652: Ummmmm hey i was wondering if u could help me on my hw, this problem says to: Find an equation of the line that passes through the point (-5,6)and is parallel to the line 2x-5y=-5.\r
\n" ); document.write( "\n" ); document.write( "a)-5x+6y=-5\r
\n" ); document.write( "\n" ); document.write( "b)2x+5y=-5\r
\n" ); document.write( "\n" ); document.write( "c)2x-5y=-40\r
\n" ); document.write( "\n" ); document.write( "d)2x-5y=37
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Algebra.Com's Answer #175939 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
: Find an equation of the line that passes through the point (-5,6)and is parallel to the line 2x-5y=-5.
\n" ); document.write( ":
\n" ); document.write( "Put the given equation in slope/intercept form to find the slope: (y = mx + b)
\n" ); document.write( "2x - 5y = -5
\n" ); document.write( "-5y = -2x - 5
\n" ); document.write( "Multiply by -1 to get a positive y
\n" ); document.write( "5y = 2x + 5
\n" ); document.write( "Divide both sides by 5
\n" ); document.write( "y = \"2%2F5\"x + \"5%2F5\"
\n" ); document.write( "y = .4x + 1
\n" ); document.write( ":
\n" ); document.write( "Parallel lines have the same slope; m=.4; x1=-5; y1=6
\n" ); document.write( "Use the point/slope form to write the equation of the parallel line:
\n" ); document.write( "that form is: y - y1 = m(x - x1)
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\n" ); document.write( "y - 6 = .4(x - (-5))
\n" ); document.write( "y - 6 = .4(x + 5)
\n" ); document.write( "y - 6 = .4x +.4(5)
\n" ); document.write( "y - 6 = .4x + 2
\n" ); document.write( "y = .4x + 2 + 6
\n" ); document.write( "y = .4x + 8
\n" ); document.write( ":
\n" ); document.write( "In standard form
\n" ); document.write( "-.4x + y = 8
\n" ); document.write( "Get rid of the decimal, multiply by 5
\n" ); document.write( "-2x + 5y = 40
\n" ); document.write( "they want x to be positive, multiply equation by -1
\n" ); document.write( "2x - 5y = -40
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