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Which equation does not belong with the other three? Explain your reasoning.

a. Y=0. 5x-0. 2

b. 4x+3=y

c. Y=x^​2+6

d. 3/4x+1/3=y

1 Answer

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The equation that does not belong with the other three is option d, 3/4x+1/3=y.

The other three equations have a common pattern of having y as a function of x with a specific form of expression.

Equation a has a linear function with a slope of 0.5 and a y-intercept of -0.2.

Equation b represents a linear equation in slope-intercept form with a slope of 4 and y-intercept of 3.

Equation c is a quadratic equation with a leading coefficient of 1, which opens upwards and has a vertex at (-3, 6).

However, equation d has a fractional coefficient and does not have a specific pattern with the other three equations. Therefore, option d does not belong with the other three equations.

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