document.write( "Question 451061: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form Y=MX+b.\r
\n" ); document.write( "\n" ); document.write( "(-3,3);4x=5y+6\r
\n" ); document.write( "\n" ); document.write( "The equation of the line is Y=\r
\n" ); document.write( "\n" ); document.write( "(Simplify your answer. Use integers or fractions for any numbers in the expression) \n" ); document.write( "

Algebra.Com's Answer #853375 by ikleyn(53547) $\"\"$ $\"About$

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\n" ); document.write( "Write an equation of the line containing the given point and parallel to the given line.
\n" ); document.write( "Express your answer in the form Y=MX+b.
\n" ); document.write( "(-3,3);4x=5y+6
\n" ); document.write( "The equation of the line is Y=
\n" ); document.write( "(Simplify your answer. Use integers or fractions for any numbers in the expression)
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\n" ); document.write( "\n" ); document.write( "A standard consideration and treatment for this case is as follows.\r
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document.write( "Any line parallel to the line 4x = 5y + 6 has the form 4x = 5y + c,\r\n" );
document.write( "where 'c' is some constant.\r\n" );
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document.write( "So, the only thing we should do to solve the problem is to find\r\n" );
document.write( "this constant 'c' from this equation. For this, we substitute the coordinates\r\n" );
document.write( "of the given point into this equation\r\n" );
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document.write( "    4*(-3) = 5*3 + c,\r\n" );
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document.write( "    -12 = 15 + c,\r\n" );
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document.write( "    c = -12 - 15 = -27.\r\n" );
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document.write( "Thus the sought equation is\r\n" );
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document.write( "    4x = 5y - 27.\r\n" );
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document.write( "If you want it in the slope-intercept form, express 'y'\r\n" );
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document.write( "    y =  + 5.4.\r\n" );
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\n" ); document.write( "\n" ); document.write( "That is all. At this point, the problem is solved completely.\r
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