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What is the sign of the slope when graphing the equation y = x – 5?

  1. Positive

  2. Negative

  3. Undefined

  4. Zero

The correct answer is: Positive

The slope in this equation is always 1, which means the line will always have a positive slope. This is because the coefficient of x (which is 1) is greater than 0. Therefore, when graphing this equation, the line will rise from left to right, indicating a positive slope. Option B is incorrect because the coefficient of x is not negative. Option C is incorrect because the coefficient of x is not zero and therefore the slope is defined. Option D is incorrect because the coefficient of x is not zero and the slope is not equal to zero. Overall, the correct answer is A because the sign of the slope in this equation is always positive, regardless of the value of x.