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Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/5. In other words, a change of 1 unit in x corresponds to change of 4/5 units in y. Graph the line and write the equation of the line.

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absor201

Answer:

The required line is will be:

  • y = 4/5x

The graph of the line y = 4/5x is attached below.

Step-by-step explanation:

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the 'constant of variation'.

It is also clear that 'constant of variation' basically represents the slope m or rate of change, with the lines passing through the origin, so

given

k = 4/5

substitute k = 4/5 in the equation y = kx

y = kx

y = 4/5x

Therefore, the required line is will be:

  • y = 4/5x

The graph of the line y = 4/5x is attached below.

Ver imagen absor201