Question

Four points from a line are shown in the table below.

Answer 1

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Answer 2

Answer:

Correct choice is A. $y=x-8$.

Step-by-step explanation:

pick any two points from the table say (0,-8) and (2,-6)

Now we we can use both points to find the equation of line.

slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{-6--8}{2-0}=\frac{2}{2}=1$

now plug slope m=1 and any point say (0,-8) into point slope formula

$y-y_1=m\left(x-x_1\right)$

$y--8=1\left(x-0\right)$

$y+8=1\left(x\right)$

$y+8=x$

$y=x-8$

Hence correct choice is A. $y=x-8$.