document.write( "Question 1145499: How far from the line 3x+2y=5 is the point of intersection of x+y=5 and x - y=3? \n" ); document.write( "

Algebra.Com's Answer #766725 by ikleyn(52835) $\"\"$ $\"About$

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document.write( "The intersection point is easy to find : for it, add and subtract the given equations. You will get the intersection point (4,1).\r\n" );
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document.write( "To find its distance from the line 3x + 2y = 5, use this formula\r\n" );
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document.write( "    d = ,     (1)\r\n" );
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document.write( "which is valid for any point (p,q) in a coordinate plane and any line Ax + By + C = 0.\r\n" );
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document.write( "In your case, p= 4, q= 1, A = 3, B= 2, C= -5,  so the distance is\r\n" );
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document.write( "    d =  =  units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Regarding the formula (1), see the lesson\r
\n" ); document.write( "\n" ); document.write( "    - The distance from a point to a straight line in a coordinate plane \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO calculate the distance from a point to a straight line in a coordinate plane \r
\n" ); document.write( "\n" ); document.write( "    - Using formula for the distance from a point to a straight line in a plane to solve word problems \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on the distance from a point to a straight line in a coordinate plane \r
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