What is the slope of a line perpendicular to the line whose equation is 2x+2y = 24. Fully simplify your answer.

First, we must solve the equation for y in order to be able to find the slope of the perpendicular line.
2x + 2y = 24
2y = -2x + 24
y = -x+ 12
now, the slope of a perpendicular line is going to be the opposite reciprocal of the first slope, meaning that the sign (positive or negative) will be opposite and the slope will be reciprocated (or flipped.
if the slope of the first line is -x, then the slope of the second line would be x. hope this helps!

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