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Math·Algebra·Linear functions

hard

$x$	$y$
$-12$	$46$
$a$	$16$
$2$	$b$

The table shows three values of $x$ and their corresponding values of $y$, where $a$ and $b$ are constants. There is a linear relationship between $x$ and $y$. In the xy-plane, the y-intercept of the line representing this relationship is $(0,-14)$. What is the value of $a+b$?

A

$-30$

B

$-29$

C

$-20$

D

$-19$