How do you write an equation of a line that is parallel to another?
Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines).
So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope. In the general equation of a line
An example of paralell lines would therefore be:
Sometimes though, linear equations aren't in the form
Here, you can't directly pick out the slope. But you could always turn that into the form
There we go. We can see that