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A functional relation between the two variables expressed y=50−xy = 50 - x, will have slope.

Solution

✅ Correct Option: 1

Option 1 -> The slope is -1, which is negative, indicating a downward slope.

Option 2 -> A positive slope would create an upward line, but this equation has a negative slope.

Option 3 -> A vertical line has undefined slope (x = constant), not the case here.

Option 4 -> A horizontal line has slope = 0 (y = constant), not the case here.


Hence, Option 1: Downward -> The equation y = 50 - x can be written as y = -x + 50, where the coefficient of x is -1. This negative slope (-1) means that for every unit increase in x, y decreases by 1 unit. A negative slope always produces a downward sloping line from left to right, indicating an inverse relationship between x and y. -> correct

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