Question 365758
The slope of the line through (3,3)and (6,4) is {{{(4-3)/(6-3) = 1/3}}}.
The slope of the line through (7,1)and (1,-1) is {{{(-1-1)/(1-7) = -2/-6 = 1/3}}}.  The lines being distinct(why?) and having the same slope, the two lines are parallel.