document.write( "Question 179604: Hi.\r
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\n" ); document.write( "\n" ); document.write( "Find the equation of the line parallel to the line y=-8 and passing through the midpoint of the segment joining (-4,2)and (-2,8)\r
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Algebra.Com's Answer #134524 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, let's find the midpoint of the segment joining (-4,2)and (-2,8)\r
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\n" ); document.write( "\n" ); document.write( "To find the midpoint, first we need to find the individual coordinates of the midpoint.\r
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X-Coordinate of the Midpoint:

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\n" ); document.write( "\n" ); document.write( "To find the x-coordinate of the midpoint, simply average the two x-coordinates of the given points by adding them up and dividing that result by 2 like this:\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5Bmid%5D=%28-4%2B-2%29%2F2=-6%2F2=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( "So the x-coordinate of the midpoint is $\"x=-3\"$ \r
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Y-Coordinate of the Midpoint:

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\n" ); document.write( "\n" ); document.write( "To find the y-coordinate of the midpoint, simply average the two y-coordinates of the given points by adding them up and dividing that result by 2 like this:\r
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\n" ); document.write( "\n" ); document.write( " $\"y%5Bmid%5D=%282%2B8%29%2F2=10%2F2=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "So the y-coordinate of the midpoint is $\"y=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "So the midpoint of the segment joining the points

and

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\n" ); document.write( "\n" ); document.write( "Now, ANY line parallel to $\"y=-8\"$ is a horizontal line of the form $\"y=k\"$ . Since the parallel line must pass through the midpoint (-3,5) (and the coordinate of this point is $\"y=5\"$ ), this means that the parallel line is $\"y=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Here's a visual confirmation:\r
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\n" ); document.write( "\n" ); document.write( "Graph of $\"y=-8\"$ (green) and $\"y=5\"$ (blue) through the midpoint (-3,5) of the segment with endpoints (-4,2) and (-2,8) \n" ); document.write( "

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