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
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
<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
Answer:
3/2
Step-by-step explanation:
formula k = y/x
comes from
y = kx
k = constant of variation
when y = 3 , x = 2
k = 3/2
When the lines are parallel, the slope have to be the same for both and we know that the slope of line B is 5/2, so the answer would be D) 5/2