Question

Which equation represents a line that passes through the two points in thetable?O A. y+3= (x+3)OB. y-3-(x-3)O G. y+3=(x+3)C.OD.y-3-(x-3)X36y35

Answer 1

The first step is to choose one option and rewrite it in the explicit form

I will choose the second option:

`y-3=(2)/(3)(x-3)`
`y=(2)/(3)(x-3)+3`
`y=(2)/(3)x-2+3`
`y=(2)/(3)x+1`

Now replace the x points in the equation to verify if it satisfies their respective value in y

For x=3

`y=(2)/(3)(3)+1=(6)/(3)+1=2+1=3`

For x=3 satisfy y=3

Now x=6

`y=(2)/(3)(6)+1=(12)/(3)+1=4+1=5`

For x=6 satisfy y=5

So the answer is b.