Question

Line M passes through the points (5,1) and (8,6) while line n passes through the point (-4,3) and (-1,8) . Which statement accurately describes the relationship between the two lines ?

Answer 1

m=(6-1)/(8-5)=5/3

y=5x/3+b, using (5,1)

1=25/3+b

b=-22/3

y=(5x-22)/3

...

m=(8-3)/(-1--4)=5/3...

y=5x/3+b, using (-1,8)

8=-5/3+b

b=29/3

y=(5x+29)/3

Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.

Answer 2

They have the same slope so they are parallel lines

Explanation: