What is the constant of proportionality of #y=3x#?

1 Answer
Serena D.
May 1, 2018

#3#

Explanation:

In lines such as #y=14x#, #y=x#, and so on, the #y# values are a result of the constant of proportionality being multiplied by the #x# value.

#y# results from something being multiplied by #x#, and the values are always proportional to one another.

#y=3x rarr# Some points on this line would be #(1, 3), (2, 6), (3, 9)#

Notice that putting these points into a ratio of x-value to y-value results in #1:3# as a simplified version.

So, the constant of proportionality is what #x# is being multiplied by to get #y#. In this case, it is #3#.

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