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1 vote
Which equation represents a proportional relationship?

y=14x

y = 3x + 7

y=13x+1

14x+y=10

User Geore Shg
by
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1 Answer

2 votes

Answer: First option.

Explanation:

The equation of a line that passes through the origin (which is the point
(0,0)), has the following form:


y=mx

Where "m" is the slope of the line.

By definition, Proportional relationships have this form:


y=kx

Where "k" is the Constant of proportionality.

Therefore, the graph of a Proportional relationship is a straight line that passes through the origin; then:


m=k

Observe the equations provided in the exercise's options.

In this case you can identify that the only equation that has the form
y=kx explained before, is the first one:


y=14x

And the Constant of proportionality is:


k=14

User Alexander Ferreras
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7.1k points