Given the equation $2x+3y=12$, compute the $y$-values for $x=0$ and $x=3$, and then verify whether the point $(6,0)$ is on the same line.

$(0,2)$ and $(3,6)$

$(6,0)$ is not on the same line

$(0,4)$ and $(3,-2)$

$\(\left\)(6,0\(\right\))$ is on the same line

$(0,4)$ and $(3,2)$

$\(\left\)(6,0\(\right\))$ is not on the same line

$(0,4)$ and $(3,2)$

$\(\left\)(6,0\(\right\))$ is on the same line