Answer:
The equation not represent a proportional relationship because the line don't passes through the origin
Explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem we have
![y=3x+5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bbq4hxc9jttv2vhcqwdlug8xuf1sp6xfwt.png)
This is the equation of the line in slope intercept form
where
the slope is m=5
the y-intercept is b=5
Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)
therefore
The equation not represent a proportional relationship because the line don't passes through the origin