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Does anyone know how to do this?

Does anyone know how to do this?-example-1

1 Answer

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The equation that represents the same proportional relationship shown in the graph is y = 4/3 x.

To see this, we can look at the slope of the line. The slope of a line is a measure of how steep the line is, and it is calculated by dividing the change in y by the change in x. In this case, the slope of the line is 4/3.

Another way to think about the slope is as the rate of change. In this case, the rate of change is 4/3, which means that for every 3 units that x increases, y increases by 4 units.

The equation y = 4/3 x has a slope of 4/3, so it represents the same proportional relationship shown in the graph.

The other equations do not represent the same proportional relationship shown in the graph.

Equation B, y = 3/4 x, has a slope of 3/4, which is different from the slope of the line in the graph.

Equation C, y = 3x, has a slope of 3, which is also different from the slope of the line in the graph.

Equation D, v = 4x, is not even a linear equation, so it cannot represent the same proportional relationship shown in the graph.

Therefore, the only equation that represents the same proportional relationship shown in the graph is y = 4/3 x.

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