In $y=mx$, is $m$, are there different implications of referring to $m$ as a "slope", a "coefficient", a "parameter"? Or perhaps the "slope coefficient" or "slope parameter"?
For context, I am describing a the process of parameterizing a linear model (as opposed to trying to interpret a description). As I understand, slope is a type of parameter, but it is not clear if there is a difference between parameter and coefficient.