document.write( "Question 701864: Write an equation for the line parallel to y=-2x-5 that contains P(-8,4) \n" ); document.write( "

Algebra.Com's Answer #432635 by Stitch(470) $\"\"$ $\"About$

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Two lines are parallel when they have the same slope.
\n" ); document.write( "The standard equation of a line is Y = mX + b
\n" ); document.write( "Where m is the slope and b is a constant.
\n" ); document.write( "In the given equation Y = -2X - 5, the slope is -2.
\n" ); document.write( "Now we have to use the given point information to solve for the constant.
\n" ); document.write( "The given point information tells us that when X = -8, then Y = 4.
\n" ); document.write( "Plug those values into the standard equation of a line
\n" ); document.write( " $\"4+=+-2%2A%28-8%29+%2B+b\"$
\n" ); document.write( "Simplify
\n" ); document.write( " $\"4+=+16+%2B+b\"$
\n" ); document.write( "Subtract 16 from both sides
\n" ); document.write( " $\"highlight%28-12+=+b%29\"$
\n" ); document.write( "Now we know that the slope is -2 and the constant is -12 so we can write the equation of the line.
\n" ); document.write( "y = -2x - 12 \n" ); document.write( "

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