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saul85 [17]
3 years ago
10

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

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

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 <u><em>and the line passes through the origin</em></u>

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

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