#### Answer

The corresponding y-value for $x=4.5$ is $7.5$

#### Work Step by Step

$4.5$ is midpoint of $4$ and $5$.
This means that the corresponding y-value for $4.5$ is the midpoint of the corresponding y-values of $x=4$ and $x=5$.
Thus,
$y= \dfrac{6+9}{2}=\dfrac{15}{2}=7.5$
Therefore, the corresponding y-value for $x=4.5$ is $7.5$