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Why does.the equation y=3x+5 NOT represent a proportional relationship

User Esther
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2 Answers

3 votes

Answer:

The equation not represent a proportional relationship because the line don't passes through the origin

Explanation:

User Kittie
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4 votes

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
k=(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

so

In this problem we have


y=3x+5

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

User Raf
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5.6k points