Question

Are the graphs of the lines in the pair parallel? Explain.
y = 6x + 9
27x – 3y = –81

A. No, since the slopes are different.

B. No, since the y-intercepts are different.

C. Yes, since the slopes are the same and the y-intercepts are the same.

D. Yes, since the slopes are the same and the y-intercepts are different.

Answer 1

27x-3y=-81
-27x -27x
-3y=-81-27x
/-3 /-3 /-3
y=27+9x
y=9x+27

Answer 2

both the slopes and y intercepts are different so we can conclude it is neither c nor d

Answer 3

if two lines have the same y intercept they can not be parallel because that would mean they are crossing each other

Answer 4

the slopes are the same however and the y intercepts are different, they are parallel

Answer 5

https://www.desmos.com/calculator

Answer 6

try typing in your equation here next time to see