the given equation of line is
y = 3x - 2
slope of this line is
m = 3
for the parallel lines the slope is always same,
so the equation of the parallel line that is passing through (-2, -1)
[tex]y-(-1)=m(x-(-2))[/tex]put m = 3
y + 1 = 3 (x + 2)
y + 1 = 3x + 6
y = 3x +6 -1
y = 3x + 5
so the answer is y = 3x +5