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Y=13/12x direct or inverse

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Final answer:

The equation y = 13/12x demonstrates a direct relationship between x and y, as it follows the standard format of a linear equation with a positive slope.

Step-by-step explanation:

The equation y = 13/12x represents a direct relationship between x and y. In this linear equation, the slope is 13/12, indicating that for every increase of 1 in x, y increases by 13/12. The equation aligns with the standard linear equation format, y = a + bx, where a is the y-intercept (which is 0 in this case since it's not explicitly stated) and b is the slope (13/12 in this case).

According to the algebra of straight lines, a linear equation with a non-zero slope describes a direct relationship where the variables change at a constant rate relative to each other. There is no evidence of an inverse relationship, where one variable would increase as the other decreases, indicated by a negative slope or an equation in the form of xy = constant.

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