SOLUTION: 1) By looking at two linear equations, how can you tell that the corresponding lines are parallel? Give examples Thanks,

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Question 204539: 1) By looking at two linear equations, how can you tell that the corresponding lines are parallel? Give examples
Thanks,
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Particularly in your situation, you are looking linear equation in the two variables x and y.

Examples: -x%5B1%5D%2By%5B1%5D=1 & -x%5B2%5D%2By%5B2%5D=2

Following Slope-Intercept Form, y=mx%2Bb:
y%5B1%5D=x%5B1%5D%2B1 ---> y%5B1%5D=red%281%29x%5B1%5D%2B1
y%5B2%5D=x%5B2%5D%2B2 ---> y%5B2%5D=red%281%29x%5B2%5D%2B2

*It shows, m%5B1%5D=m%5B2%5D=1 --> the two lines are PARALLEL

To check,
In Eqn 1, let Fy=0:
-x%2B0=1 ---> x=-1, X-intercept
Let Fx=0:
0%2By=1 ---> y=1, Y-intercept

In Eqn 2: let Fy=0:
-x%2B0=2 ---> x=-2, X-intercept
Let Fx=0:
0%2By=2 ---> y=2, Y-intercept
---> When you see the Slope (m) of one linear equation equals to the other eqn, they are parallel.

Thank you,
Jojo