First we'll draw the points that the first line goes through:
 

 
And then we'll draw that line.
 

 
We'll find the slope of that line using
 


The line parallel to that one must slope the same way, that is,
it must have the same slope.

 Now we'll use the point-slope formula with (x1,y1) = (5,2)





Multiply both sides by 3:











To check, we'll plot the point (5,2) 



Then we'll get a couple more points
 
 x | y
 2 | 1
-1 | 0
 



Draw a line through those:



So the green line is parallel to the black line and it goes through (5,2).

Edwin