Find a linear rule $y=mx+b$ that fits the ordered pairs $(1,4)$ and $(3,10)$. Then, determine whether the pair $(2,7)$ lies on that same line.

$y=2x+2$

No, the pair $(2,7)$ does not lie on the line

$y = 3x + 1$

Yes, the pair $(2,7)$ lies on the line

$y = 3x + 1$

No, the pair $(2,7)$ does not lie on the line

$y = 4x$

Yes, the pair $(2,7)$ lies on the line