A refreshment stand makes 7 large servings of frozen yogurt from 9 pints. Graph the line and then write its equation. Let the x-axis represent the number of pints and the y-axis represent the number of servings. Use only fractional form, if necessary.

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y = (7/9)x

Step-by-step explanation:

The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).

When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.

Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx

m = change in y / change in x = 7 servings / 9 pints

m = 7/9

The equation is:

y = (7/9)x

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