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Tell whether x and y show direct variation. Explain your reasoning. x=y+2

User Reza Sh
by
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1 Answer

5 votes

Answer:

x and y do not show direct variation

Explanation:

Two quantities x and y show direct variation when

y = kx

and k ≠ 0

Given x = y + 2

Making y the subject of the formula:

y = x - 2

The equation above cannot be written in the form y = kx

This means that x and y are not in a proportional relationship

For instance, let's say when x = 4

y = (4) - 2 = 2

Now, if x is doubled, x = 8

y = (8) - 2 = 6

Therefore, doubling x does not necessarily double y, hence they are not in a direct variation.

User Low Yi Xiang
by
8.0k points

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