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This question would be much easier if we simplified the equation first: 2y = -6x + 8 (divide both sides by two) y = -3x + 4 Now, the slope of this line is obviously -3. All you have to do to find the slope of a line perpendicular to the slope of another line is take its opposite reciprocal. "Opposite" means reverse the sign. "Reciprocal" means flip the fraction. In this case, the perpendicular slope of -3 (or -3/1) is 1/3. This is because 3 is the opposite of -3, and 1/3 is the reciprocal of 3.

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Q: Slope of a line perpendicular to 2y equals -6x plus 8?
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