Answer
$h(x)=\frac{1}{2}x+3$
Work Step by Step
We are told that the slope is $\frac{1}{2}$, so $a=\frac{1}{2}$. We are also told that the y-intercept is $3$, so $b=3$. The equation must be:
$h(x)=ax+b=\frac{1}{2}x+3$
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