document.write( "Question 1145781: Line L has equation 2x - 3y = 5.
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Algebra.Com's Answer #767029 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Since the projected/requested line is parallel to the given line, its equation has the same co-named coefficients at x and y.\r\n" );
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document.write( "Hence, the projected/requested line has an equation of the form  2x - 3y = c with unknown coefficient \"c\".\r\n" );
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document.write( "To find \"c\", simply substitute the coordinates of the given point p and q as x and y respectively into this equation  2x - 3y = c.  \r\n" );
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document.write( "You will get\r\n" );
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document.write( "    2*3 - 3*(-10) = c,  \r\n" );
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document.write( "which implies  c = 6 + 30 = 36.\r\n" );
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document.write( "Thus your final equation of the projected/requested line in standard form is \r\n" );
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document.write( "    2x - 3y = 36.    ANSWER  \r\n" );
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\n" ); document.write( "\n" ); document.write( "What you really need to know to solve such problems is THIS:\r
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document.write( "    1.  Two parallel lines have the same slope.  It helps you when you are dealing with the slope-intersept form of equations.\r\n" );
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document.write( "        Therefore, the equations of parallel lines are identical in their \"x-y\" parts. The difference is only in their constant terms.\r\n" );
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document.write( "    2.  Two parallel lines have the same co-named coefficients in their standard form.\r\n" );
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document.write( "        Therefore, the equations of parallel lines are identical in their \"x-y\" parts. The difference is only in their constant terms.\r\n" );
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document.write( "    3.  To find the unknown constant term in the equation for the projected/requested parallel line, simply substitute the coordinates of the\r\n" );
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document.write( "        given point into this equation.\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 parallel to a given line and passing through a given point\r
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