Question

Choose the equation that represents the graph below.

y = −2x − 6
y = two thirdsx + 6
y = negative two thirdsx + 6 y = 2x + 6

Answer 1

The equation is y = -2/3x + 6

Answer 2

c.
`y=-(2)/(3)x+6`

Explanation:

We have to choose that equation which represents the given graph.

From given graph , the graph cut the y- axis at point (0,6) and cut the x- axis (9,0).

a.
`y=-2x-6`

Substitute x=0 then we get

y=-6

But we have y-intercept y=6

Therefore, this equation does not represents the given graph.

b.
`y=(2)/(3)x+6`

Substitute y=0 then, we get

`(2)/(3)x+6=0`

`(2)/(3)x=-6`

`x=(-6* 3)/(2)=-9`

The x- intercept =-9

But , we have x=9

Therefore, it is false.

c.
`y=-(2)/(3)x+6`

Substitute x=0 then we get

y=6

Substitute y=0

Then, we get

`-(2)/(3)x+6=0`

`(2)/(3)x=6`

`x=(6* 3)/(2)=9`

Hence, the line passing through the point (9,0) and (0,6) .Therefore, it represents the given graph.

Answer:c.
`y=-(2)/(3)x+6`