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
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document.write( "a)-5x+6y=-5\r
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document.write( "b)2x+5y=-5\r
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document.write( "c)2x-5y=-40\r
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document.write( "d)2x-5y=37 \n" );
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Algebra.Com's Answer #175939 by ankor@dixie-net.com(22740)![]() ![]() 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 = \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) \n" ); document.write( "; \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 \n" ); document.write( " \n" ); document.write( " |