document.write( "Question 1206663: Find the equation passing through (1,0) and that is parallel to 4x+2y=7. \n" ); document.write( "
Algebra.Com's Answer #844216 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "4x+2y=7\r\n" );
document.write( "Solve for y\r\n" );
document.write( "2y=-4x+7\r\n" );
document.write( "Divide through by 2\r\n" );
document.write( "y=-2x+7/2\r\n" );
document.write( "The slope is m=-2 from comparing it to y=mx+b\r\n" );
document.write( "Parallel lines slope the same way so their slopes are equal\r\n" );
document.write( "Use formula\r\n" );
document.write( "y-y1 = m(x - x1) with m = -2, and (x,y) = (1,0)\r\n" );
document.write( "y-0 = -2(x - 1)\r\n" );
document.write( "y = -2x + 2\r\n" );
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document.write( "But the easiest way to get an equation of a line parallel to another line which\r\n" );
document.write( "you have the equation of and a point it must pass through for, is to solve for\r\n" );
document.write( "the constant term, substitute the point in the other side and replace the\r\n" );
document.write( "constant term with what you get.\r\n" );
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document.write( "That's because the equations of any two parallel line can be the same except for\r\n" );
document.write( "the constant terms. Therefore:\r\n" );
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document.write( " 4x+2y=7  The constant term is already solved for.\r\n" );
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document.write( "Substitute (x,y) = (1,0) on the left side\r\n" );
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document.write( "4x + 2y = ?\r\n" );
document.write( "4(1) + 2(0) = 4 + 0 = 4\r\n" );
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document.write( "So replace the constant term 7 by 4\r\n" );
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document.write( "4x + 2y = 4\r\n" );
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document.write( "That's an answer.  But you can simplify it! \r\n" );
document.write( "Divide through by 2 and get\r\n" );
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document.write( "2x + y = 2\r\n" );
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document.write( "or\r\n" );
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document.write( "y = -2x + 2\r\n" );
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document.write( "Edwin
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