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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.

User Ali Bdeir
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2 Answers

3 votes

Answer:

i think its b

Explanation:

User Saurabh Meshram
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4 votes

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)

User Cowboydan
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