Question

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

Answer 1

Answer:

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

Step-by-step explanation:

We know the equation of the line:-

$y-y_{1} =m(x-x_{1}) ~ m=slope$

$m=\frac{y_{2}-y_{1} }{x_{2-} x_{1} }$

$(x_{1}y_{1})=(-1 ,-9)$

$(x_{2},y_{2} )=(1,-3)$

$\frac{m=(-3)-(-9)}{1-(-1)} =\frac{-3+9}{1+1} =\frac{6}{2} =3$

$m=3$

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

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

$y+9=3x+3$

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

so, your answer is D

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hope it helps..

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