Question 179604: Hi.
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)
thanks.
H.C.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! First, let's find the midpoint of the segment joining (-4,2)and (-2,8)
To find the midpoint, first we need to find the individual coordinates of the midpoint.
X-Coordinate of the Midpoint:
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:
So the x-coordinate of the midpoint is 
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Y-Coordinate of the Midpoint:
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:
So the y-coordinate of the midpoint is 
So the midpoint of the segment joining the points ) and ) is )
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Now, ANY line parallel to  is a horizontal line of the form  . Since the parallel line must pass through the midpoint (-3,5) (and the coordinate of this point is ), this means that the parallel line is
Here's a visual confirmation:
Graph of (green) and (blue) through the midpoint (-3,5) of the segment with endpoints (-4,2) and (-2,8)
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