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

A. y = –4/3x
B. y = –3/4x
C. y = 3/4x
D. y = 4/3x

User Adekemi
by
7.1k points

2 Answers

3 votes

Answer:

C-Y=3/4X

Explanation:

User LCC
by
9.3k points
2 votes

Answer:

Option C.
y=(3/4)x

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

User Sammy Larbi
by
8.5k points

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