Question

Which of the following describes a linear function?

It is V shaped and passes through the origin.
It is a straight line in one portion and a curve in another portion.
Its y-values decrease at a constant rate as its x-value increases.
Its y-values increase at a nonconstant rate as its x-value increases.

Answer 1

i think its b

Explanation:

Answer 2

All linear functions can be written as
`y=mx+q`

The coefficient m is the slope of the line, and it is the constant rate of change for y, depending on the change of x.

Consider, for example, the function

`y=-2x+3`

If we start with x=0, we have y=3.

Then, if we increase x by 1 step by step, we have

`\begin{array}cx&-2x+3\\0&3\\1&1\\2&-1\\3&-3\\4&-5\\\end{array}`

So, as you can see, as we constantly increase x (by 1), y constantly decreases (by 2, which is the slope of the line: -2)