Question

What does it mean when 2 lines are parallel?

Answer 1

Two lines are parallel:

• When two lines are parallel to each other, they do not intersect at any point even if the lines are extended to infinity.
• Distance between the two parallel lines remain constant.

• If two lines $m,n$are parallel, it is denoted as $m\parallel n$
• The slope of the two parallel lines will be the same, but the Y-intercept will be different.

The general equation of a line is $y=mx+c$, where $x,y$are coordinate points, $m$is the slope, and $c$is the Y-intercept.

For the lines to be parallel, the general equation will be in the form $y=mx+c_1$ and $y=mx+c_2$, Where $c_1$ and $c_2$ are constant.

In solving the linear equations in two variables, the parallel lines are considered to be inconsistent since there are “no solutions”.

Hence, the meaning of two parallel lines is explained.