for that two lines be parallel the condition is that two slope be equal m1 = m2
Now you must calculate with point givens both slope , with the following formula
m= y2-y1/ x2-x1, for the firsts two points P( -7,0) and Q( 6,-5)
m = -5-0/6-(-7) , m = -5/13
for the seconds points R (-1,-1) and S( 0,-4)
m = -4-(-1)/ 0-(-1) = -3/1 = -3
the lines are not parallel, m1 ≠ m2