The equations representing the given graph is

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The graph shows two lines that are parallel and distinct, meaning they have the same slope but different y-intercepts and thus never intersect. For two lines to be parallel, their slopes must be equal. The correct pair must satisfy this condition.
Let's check the slopes. The general form is Ax + By = C. The slope is -A/B.
For the first option: 3x - 4y = 1 and 8y - 6x = 4 (which is -6x + 8y = 4).
Slope of first line: -3/(-4) = 3/4.
Slope of second line: -(-6)/8 = 6/8 = 3/4.
Slopes are equal, confirming they are parallel.
Final Answer: 3x – 4y = 1; 8y – 6x = 4