Question

Decide whether the relation defines a function.

3x = 9 - 4y


AFunction

B.Not a function

Answer 1

A

Explanation:

Lets first solve the relation for "y". Shown below:

`3x=9-4y\\4y=-3x+9\\y=-(3)/(4)x+(9)/(4)`

This is clearly an equation of a line in the form
`y=mx+c`

It will be a negatively sloped line, when graphed.

We can use vertical line test to determine function or relation. If a vertical line passes through only 1 point in the graph, we say that it is a function.

Think of a negatively sloped line. No matter where you draw a vertical line, it will only cut the line at 1 point.

So, this is definitely an equation of a function

Correct answer is A