Graph x – y = 8.
A) A vertical line at x = 8
B) A horizontal line at y = 8
C) A vertical line at x = -8
D) A horizontal line at y = -8
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To graph the equation ( x – y = 8 ), we can rearrange it to the slope-intercept form:
1. Start with the original equation:
( x – y = 8 )
2. Solve for ( y ):
( -y = -x + 8 )
( y = x – 8 )
This means that the line has a slope of 1 and a y-intercept of -8.
Since the equation does not represent a vertical or horizontal line but rather a line that slopes upwards, the given options about vertical or horizontal lines are incorrect. The correct answer is not listed among the options.
However, if you meant to ask about the line characteristics described by the equation, neither of the options A, B, C, or D accurately represent it.
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