Desmos Graphing Calculator

CalcReferenceCopy

Math·Algebra·Linear functions

hard

$x$	$g(x)$
$-17$	$-7$
$-9$	$0$
$-1$	$7$

For the linear function $g$, the table shows three values of $x$ and their corresponding values of $g(x)$. Function $g$ is defined by $g(x)=ax+b$, where $a$ and $b$ are constants. What is the value of $a+b$?

A

$\frac{28}{5}$

B

$\frac{63}{10}$

C

$\frac{63}{8}$

D

$\frac{35}{4}$