Question

Decide whether the relation defines a function.

3x = 9 - 4y


AFunction

B.Not a function

Answer 1

Answer:

A

Step-by-step explanation:

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

$3x=9-4y\\4y=-3x+9\\y=-\frac{3}{4}x+\frac{9}{4}$

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