Question

Can you answer the pic

Answer 1

yes; the line passes through the origin; k = 2/3

Explanation:

For direct variation:
`\boxed{y=kx}` where k is constant

Substitute all 4 x & y from the questions and find out the k value.

• If all k values are the same, then it is a direct variation
• If k values not the same, then it is not a direct variation

[1]

`2=k(3)`

`k=(2)/(3)`

[2]

`4=k(6)`

`k=(4)/(6)`

`k=(2)/(3)`

[3]

`6=k(9)`

`k=(6)/(9)`

`k=(2)/(3)`

[2]

`8=k(12)`

`k=(8)/(12)`

`k=(2)/(3)`

Since all 4 k values are the same, so it is a direct variation and passes through the origin and
`k=(2)/(3)`