Question

Why does the equation y=3x+5 Not represent a proportional relationship?

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we now that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

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

In this problem we have

$y=3x+5$

This is the equation of the line in slope intercept form

where

$m=3\\b=5$

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero