Aidan stated that for any value of b, the line y = 2x + b is parallel to the line that passes through (2, 5) and (–1, –1). do you agree with aidan? explain why or why not.

Disagree because if b is 1, the the lines will share the same coordinates points as well as lies on the other

Find the slopes
paralell ines have same slope

y=mx+b
m=slope

y=2x+b
2=slope
find slope between the other points

slope betwen (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(2,5) and (-1,-1)
slope=(-1-5)/(-1-2)=-6/-3=2

2=2

the slope are equal so threfor I agree that they will be paralell