SOLUTION: y = x + 8 –2x + 12y = –11 and y = 5x + 6 –18x + 3y = –54 I wanted to know if these are parallel lines?

Algebra ->  Linear-equations -> SOLUTION: y = x + 8 –2x + 12y = –11 and y = 5x + 6 –18x + 3y = –54 I wanted to know if these are parallel lines?       Log On


   

Question 368346: y = x + 8
–2x + 12y = –11
and
y = 5x + 6
–18x + 3y = –54
I wanted to know if these are parallel lines?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to slope-intercept form, y=mx%2Bb
Parallel lines have identical slopes, so if the lines are parallel then,
m%5B1%5D=m%5B2%5D
.
.
.
1.+++y+=+x+%2B+8
m%5B1%5D=1
.
.
-2x+%2B+12y+=+-11
12y=2x-11
y=%281%2F6%29x-11%2F12
m%5B2%5D=1%2F6
Clearly, these lines are not parallel.
Solve the second pair in the same way.