Question

Determine whether each relation represents y as a function of x
x+y=3x

Answer 1

Yes

Explanation:

The given relation is
`x+y=3x`.

We subtract x from both sides to get:
`y=3x-x`

This simplifies to
`y=2x`

The graph of this relation is a straight line that goes through the origin with slope 2.

The graph of this relation passes the vertical line test.

We can rewrite this as
`y(x)=2x`

Therefore the relation
`x+y=3x` represents y as a function of x.