Question

I'd really appreciate it if anyone helped! :)

Which statement best explains why y=4−6x is a function?


It is a linear equation.


The solutions to the equation can be written as ordered pairs.


The slope is a factor of the y-intercept.


Each x value has one and only one y value.

Answer 1

D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.

Answer 2

Each x value has one and only one y value.

Explanation:

y = f(x) can be called a function if, and only if

f(a) = f(b) means that a = b.

That is, each x value has one and only one y value.

y = 4 - 6x

f(a) = f(b)

4 - 6a = 4 - 6b

6b = 6a

b = a

So the correct answer is:

Each x value has one and only one y value.