Yes, or it could also be a function of m...or possibly even b depending on how the problem is stated. If y is defined as f(x) though, it's a function of x.
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It is the equation of a straight line
Y = 2X + 8 is a linear function of the form, Y = mX + c. A line.
same thing. but its easy to change y=b+mx to y=mx+b
m
Yes.