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Known equation: 3x+5y = 6 or y = -3/5x +6/5

Slope of equation: -3/5

Slope of parallel equation: -3/5

Parallel equation: y-1 = -3/5(x-3) => 5y = -3x+14

Parallel equation in its general form: 3x+5y-14 = 0

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Q: What is the equation of the line that goes through 3 1 and is parallel to the line 3x plus 5y equals 6?
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