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Which equation represents a line parallel to the graph of2x − 4y = 16?(1) y=1/2x - 5...
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The equation of the line 2x − 4y = 16 can be written as
2x − 4y = 16
=> -4y = -2x + 16
=> y = x/2 + 4
This is in the form y = mx + c, where m is the slope of the line. A line parallel to the given line should have a slope of (1/2)
Of the options provided:
1. y = (1/2)x - 5 has a slope (1/2)
2. y = (-1/2)x + 4 has a slope (-1/2)
3. y = -2x + 6 has a slope -2
4. y = 2x + 8 has a slope 2
Only option 1 or y = (1/2)x - 5 is parallel to the given line.
Posted by justaguide on June 13, 2011 at 1:32 PM (Answer #1)
The equation to a line parrallel to any other line will have the same slope as that line
ie all parallel lines will have the same slopes
your equation is 2x -4y =16
rearranging the terms, we have -4y = -2x + 16
dividing the equation by -4 to make the coefficient of y as 1 we have
y= -2/-4 x + 16/-4
ie y=1/2 x - 4
Note that the slope of the line y = mx + c is m
so the slope of the given line is 1/2
from the given options there is only one line with slope 1/2 which if option 1
Posted by subhaunni on June 14, 2011 at 1:02 AM (Answer #2)
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