Question

Li believes that the graph shows a direct variation. Why is Li incorrect in saying that the graph shows a direct variation?

1) The graph does not have a constant rate of change.
2) When the x-value is 0, the y-value is 1.
3) The slope is negative.
4) The relationship is proportional.

Answer 1

b. or 2. When the x-value is 0, the y-value is 1.

Explanation:

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Answer 2

Option 2) When the x-value is 0, the y-value is 1.

Explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Remember that in a direct variation

For x=0, the value of y is equal to zero too

therefore

The graph is not a direct variation , because

When the x-value is 0, the y-value is 1.