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That's the reason I some what dis like High School Math ---- it leaves to many blanks.

When the book writes y = something about x. It is describing a function, some times just a relation, but relations are not as fun.

The proper way to do it, let f be a real map (function) from the real numbers to the real numbers (which I assume you are working on the real numbers), denote f:R ---> R

R stands for real.

Then we let y = f(x) for all x. That's what is going on. y is the out come, or the result of the function performed on x. In this case, we multiply x by an arbitrary k. And that's all there is. It means, y is the result of a function on x that involves multiplying x by a factor k.

Ah hah! We say, one formal definition of a function is its graph, the set of all pairs (x, y) where y = f(x). Are they related here? Yes. It is very important (it's the definition) to link them. What the graph looks like is a straight that is tilted in various degree, 0 degree included to 90 degree excluded. As to WHY it look like that, there is a tool called Calculus, which require some proof to figure. If you want to know, ask or message me.

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Q: What does y equals kx mean?
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