Question

How do you write an equation of a line that is parallel to another?

Answer 1

Write an equation of the line that is parallel to another:

Parallel lines are the lines that never intersect each other. They have identical slopes but different intercepts.

The general equation of a line is $y=mx+b$where $m$ is the slope and $b$ is the $y$ intercept.

Another equation of line parallel to $y=mx+b$ will be $y=mx+c$ where $m$ is the slope and $c$ is the $y$ intercept . Also $c\ne b$

Hence, the required equations are $y=mx+b$ and $y=mx+c$ which are parallel to each other.