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What is the slope of a line perpendicular to the line whose equation is 3x + 3y = –27. Fully simplify your answer.


The slope of perpendicular lines is always the opposite (reciprocal) and opposite sign of the given equation. Step-by-step explanation: To begin, convert the equation to y= form. This can be done by subtracting 3x from both sides of the equation to yield 3y=-3x-27. Dividing both sides by 3 gives us the equation y=-x-9. To find the slope of the perpendicular line, we need to take the opposite (reciprocal) slope and switch the sign from negative to positive.