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A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation? The line represents a direct variation because = . The line represents a direct variation because it is horizontal. The line does not represent a direct variation because it does not go through the origin. The line does not represA line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation? The line represents a direct variation because = . The line represents a direct variation because it is horizontal. The line does not represent a direct variation because it does not go through the origin. The line does not represent a direct variation because –4(3) ≠ 4(3).ent a direct variation because –4(3) ≠ 4(3).

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Answer:

Line does not represent direct variation.

Step-by-step explanation:

If the line goes thru the origin, it represents direct variation.  Otherwise it does not.

Start by finding the slope of this line:

As we move from (-4,3) to (4,3), x increases by 8 but y does not change.  Thus, the slope is 0/8, or just 0.  Thus, the equation of this line is y = 3, which does NOT go thru the origin; thus, the points given do NOT represent direct variation.

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