Answer
$$ y=6x-53.$$
Work Step by Step
Since the slope is $6$, the equation is
$$ y=6x+c.$$
To find $ c $ we use the fact that the line passes through the point $(9,1)$
$$1=6(9)+c\Longrightarrow c=1-54=-53$$
Hence, the equation is
$$ y=6x-53.$$