Which is an equation of a direct proportion? a.y=1/6x+6 b.y=6/x c.y=6x-6 d.y=6x

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ 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

<em>Verify each case</em>

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b) y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

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