# How to tell if lines are parallel, perpendicular or neither?

Parallel lines are the lines which never intersect and perpendicular lines are the lines that intersect at 90 degree

## Answer: Lines with the same slope are parallel and if the slope of one line is negative reciprocal of second line then lines are perpendicular else lines are intersecting.

Let's see how to identify the parallel and perpendicular lines

**Explanation:**

Let's take some examples to understand this

### Parallel lines:

Considering two equations

y = 2x +3 and y = 2x+5

On comparing y = 2x +3 and y = 2x+5 with y = mx + c

Both the lines have slope = m = 2

**Lines with the same slope are parallel**

Hence. the lines are parallel.

### Perpendicular lines:

Let's consider another set of two equations

y = 2x +3 and 4y = –2x+10

On comparing y = 2x +3 and 4y = –2x+10 with y = mx + c

The slopes are m = 2 and m = –1/2

**If the slope of one line is negative reciprocal of second line then lines are perpendicular**

Hence, both lines are perpendicular.