Question

Which is true about the table and the graph shown below?

Answer 1

D) Neither the table nor the graph shows a proportional relationship

Explanation:

We know the equation of the line:-

`y-y_(1) =m(x-x_(1)) ~ m=slope`

`m=(y_(2)-y_(1) )/(x_(2-) x_(1) )`

`(x_(1)y_(1))=(-1 ,-9)`

`(x_(2),y_(2) )=(1,-3)`

`(m=(-3)-(-9))/(1-(-1)) =(-3+9)/(1+1) =(6)/(2) =3`

`m=3`

`y-(-9)=3(x-1)`

`y+9=3(x+1)`

`y+9=3x+3`

`y=3x-6 ~ or ~ y=3(x-2)`

so, your answer is D

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