Question

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Answer 1

Answer:

Option C. $y=(3/4)x$

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

so

Find the value of the constant k

For the point (-8,-6)

$k=y/x=(-6/-8)=3/4$

For the point (12,9)

$k=y/x=(9/12)=3/4$

Note A single point was required to find the constant k (because the line passes through the origin)

The equation is equal to

$y=(3/4)x$

Answer 2

Answer:

The answer is C

Step-by-step explanation:

Ed2020