Question

Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect to xxx is \dfrac{5}{3}
3
5
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start fraction, 5, divided by, 3, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \dfrac{5}{3}
3
5
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start fraction, 5, divided by, 3, end fraction units in yyy.
Graph the line and write the equation of the line.

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Answer 1

The equation of the line of the graph would be, y = 5/3x.

The graph of the line is shown in the diagram attached below.

What is a Proportional Relationship Graph?

A proportional relationship is usually defined and expressed as the equation, y = kx, where:

x and y are the two variables that are in a proportional relationship with one another

k is the constant of proportionality or unit rate of change.

The unit rate of change is also the slope of the line that represents the proportional relationship graph, and passes through the point of origin, (0, 0).

Given that the line that represents a proportional relationship between x and y is where the unit rate of change is given as 5/3, the equation of the line of the graph would be, y = 5/3x.

The graph of the line is shown in the diagram attached below.

Learn more about proportional relationship graph on:

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