document.write( "Question 1206891: Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below. \r
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Algebra.Com's Answer #844625 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Indicate in standard form the equation of the line passing through the given points,
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @josgarithmetic is WRONG.\r
\n" ); document.write( "\n" ); document.write( "        It is incorrect from the first step calculating the slope and to the end, including his answer $\"highlight%28cross%28x-y=-4%29%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "        I came to bring a correct solution.\r
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document.write( "Calculate the slope m =  =  =  = .\r\n" );
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document.write( "It is the same as to use the formula  m =   with coordinates  = 4,  = 6,  = 1,  = 5.\r\n" );
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document.write( "Next, write an equation of the line having the slope    and passing through the given point (4,6).\r\n" );
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document.write( "    An equation of a straight line in a coordinate plane which has the slope m and passes through the given point  P = (a,b)  is \r\n" );
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document.write( "        y - b = m*(x-a).     \r\n" );
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document.write( "    Substitute here  m = ,  a = 4,  b = 6,  and you will get\r\n" );
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document.write( "        y - 6 = .    (1)\r\n" );
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document.write( "    It is the equation in the slope-point form.\r\n" );
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document.write( "    But you want to get an equation in standard form, which is Ax + By = C.\r\n" );
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document.write( "    To get it, multiply equation (1) by 3 (both sides) and simplify\r\n" );
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document.write( "       3*(y-6) = x-4,\r\n" );
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document.write( "       -18 + 4 = x - 3y,\r\n" );
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document.write( "       -14 = x - 3y,\r\n" );
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document.write( "       x - 3y = -14.\r\n" );
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document.write( "This equation is what you want, i.e. your ANSWER.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "in this site. Find there several other similar solved problems.\r
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\n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r
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\n" ); document.write( "\n" ); document.write( "As a bonus to you, consider the lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Find the slope of a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line having a given slope and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Solving problems related to the slope of a straight line\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line parallel to a given line and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line perpendicular to a given line and passing through a given point \r
\n" ); document.write( "\n" ); document.write( "that are closely related to your problem.\r
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\n" ); document.write( "\n" ); document.write( "Consider them as your textbook, handbook, tutorials and (free of charge) home teacher.\r
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