document.write( "Question 63548This question is from textbook beginning algebra
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document.write( ": 3x+5y=1\r
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document.write( "4x-5y=2\r
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document.write( "2x+3y+5=0\r
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document.write( "Then instructions says to find the slope of the line.\r
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document.write( "I tried working these problems but I am not fully understanding what to do first. Can you give me a break down step by step how to do these problems. thanks so much for your help. \n" );
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Algebra.Com's Answer #44286 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! QUESTION;\r \n" ); document.write( "\n" ); document.write( "Find the slope of given equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation of the line can be written in slope-intercept form as\r \n" ); document.write( "\n" ); document.write( " y = mx+b where 'm' is the slope of the equation and b is the 'y' intercept.\r \n" ); document.write( "\n" ); document.write( "To find the slope of the equation, first of all rewrite the given equation in standard form, that is y = mx + c\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.3x+5y=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==>3x+5y=1\r \n" ); document.write( "\n" ); document.write( "Subtract 3x from both sides of the equation,\r \n" ); document.write( "\n" ); document.write( "==> 3x + 5y -3x = 1-3x\r \n" ); document.write( "\n" ); document.write( "==> 5y = 1-3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 5\r \n" ); document.write( "\n" ); document.write( "==> 5y/5 = ( 1-3x )/5\r \n" ); document.write( "\n" ); document.write( "==> y = 1/5 - 3x/5\r \n" ); document.write( "\n" ); document.write( "==> y = 1/5 + (-3/5)x\r \n" ); document.write( "\n" ); document.write( "==> y = (-3/5)x + 1/5, which is of the form, y = mx + c\r \n" ); document.write( "\n" ); document.write( "where m = -3/5\r \n" ); document.write( "\n" ); document.write( "Therefore slope of the equation is -3/5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. 4x - 5y = 2\r \n" ); document.write( "\n" ); document.write( "As in above proceed,\r \n" ); document.write( "\n" ); document.write( "4x - 5y -4x = 2 -4x\r \n" ); document.write( "\n" ); document.write( "==> -5y = 2- 4x\r \n" ); document.write( "\n" ); document.write( "==> -5y/-5 =(2-4x)/-5\r \n" ); document.write( "\n" ); document.write( "==> y = 2/-5 - 4x/-5\r \n" ); document.write( "\n" ); document.write( "==> y = (-2/5) + (4/5)x \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y = (4/5)x + ( -2/5)\r \n" ); document.write( "\n" ); document.write( "which is of the form, y = mx +c\r \n" ); document.write( "\n" ); document.write( "so here slope is = 4/5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3. 2x +3y +5 = 0\r \n" ); document.write( "\n" ); document.write( " 2x + 3y + 5 - 5 = 0 - 5\r \n" ); document.write( "\n" ); document.write( "2x + 3y = -5\r \n" ); document.write( "\n" ); document.write( "2x + 3y - 2x = -5 - 2x\r \n" ); document.write( "\n" ); document.write( "3y = -5 - 2x \r \n" ); document.write( "\n" ); document.write( "3y/3 = -5/3 -2x/3\r \n" ); document.write( "\n" ); document.write( "y = (-5/3) + ( -2/3)x\r \n" ); document.write( "\n" ); document.write( "Therefore, slope = (-2/3)\r \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( "\n" ); document.write( "praseenakos@yahoo.co.in\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |