Help me please Clarencia

Question

Find the equation of a line parallel to 3x+y=5 that passes through (2,1)

Answer 1

3x + y = 5

y=-3x +5 has slope = -3

any parallel line has the same slope =-3

the equation of the line through the point (2,1)

will be y-1 = -3(x-2) =-3x +6

y=-3x +7 is the parallel line through (2,1)

It's the line 3x+y+5 shifted vertically up 2 units