Answer
Please see the graph that shows the blue line is parallel to the red line and goes through the given point.
Work Step by Step
Through $(1,5)$ and parallel to $y=3x-4$
Parallel lines have the same slope, so $m=3$.
$y=3x+b$
$5=3*1+b$
$5=3+b$
$2=b$
$y=3x+2$
Blue line: $3x+2=y$
Red line: $y=3x-4$