Question

Which best describes the function on the graph?

direct variation; k= -2

direct variation; k=-1/2

inverse variation; k = -2

inverse variation; k= -1/2

Answer 1

K=-2

Step-by-step explanation:

Answer 2

Option A: Direct variation ;
`k=-2`

Step-by-step explanation:

From the graph, some of the points that the line passes through are
`(1,-2)`,
`(-1,2)` and
`(-2,4)`

Thus, direct variation is the relationship between two variable in which one is the constant multiple of the other.

The expression can be written as
`(y)/(x) =k`

Substituting the coordinate
`(1,-2)` in
`(y)/(x) =k`, we get,

`(-2)/(1) =k\\-2=k`

Also, substituting the coordinate
`(-1,2)`, we get

`(2)/(-1) =k\\-2=k`

Thus,
`k=-2` which is direct variation.

Hence, Option A is the correct answer.