document.write( "Question 1123230: How to write an equation of the line containing the specified point and parallel to the indicated line (-1,-6)2, x-5y=1
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Algebra.Com's Answer #739528 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "First, pay attention on how I edited your post, deleting unnecessary element.\r
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document.write( "    Correctly formulated Math problem, like ancient Greek statues, should not contain unnecessary elements.\r\n" );
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document.write( "Now, a parallel line to the given line has equation \r\n" );
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document.write( "    x- 5y = c.     (*)\r\n" );
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document.write( "In this equation, the left side IS THE SAME as in the given equation.\r\n" );
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document.write( "The right side \"c\" is the constant term. It has its own value for each parallel line and it specifies each parallel line by a unique way.\r\n" );
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document.write( "You will find the value of \"c\" by using the condition that the given point (-1,-6) lies on this line, \r\n" );
document.write( "i.e. satisfies the equation (*). For it, you simply substitute the coordinates x= -1  and  y= -6 into equation (*) and calculate \"c\" :\r\n" );
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document.write( "    (-1) - 5*(-6) = -1 + 30 = 29.\r\n" );
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document.write( "So, c= 29,  and the equation you are looking for is\r\n" );
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document.write( "    x - 5y = 29.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To learn more on this subject, look into 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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