#### Answer

$y = 3x - 2$

#### Work Step by Step

The line is parallel to $y=3x-4$, passes through the point $(1,1)$
Two parallel lines must have the same slope.
and since the slope of $y=3x-4$ is 3, we know now that the line's slope is also 3.
Now with a point and the slope we can use the formula:
$y - Y_1 = m(x - X_1)$
Let's replace the values with the point and the slope:
$y - 1 = 3 (x - 1)$
$y = 3x - 3 + 1$
$y = 3x - 2$