# How o write an equation which is parallel and perpendicular to the given lines below? (1) y= -5x (2) y= 1/3x-1 (3) 2x-4y=3

##### 1 Answer

May 20, 2018

Parallel lines have the same slope, whereas perpendicular lines have negative reciprocal slopes.

**Equation 1: #y=-5x#**

**Parallel**

A parallel line will have the same slope. However, it can be transitioned vertically by a constant value.

#y=-5x+c# **Perpendicular**

The perpendicular line will have a negative reciprocal slope. This means we divide#1# by the slop and change its sign. The constant is also necessary.

#y=1/5x+c#

**Equation 2: #y=1/3x-1#**

**Parallel**

In this case, the equation already has a constant, but it will be different in the parallel line.

#y=1/3x+c# **Perpendicular**

#y=-3x+c#

**Equation 3: #2x-4y=3#**

In this case, we must first rearrange the equation to be in the

**Parallel**

#y=1/2x+c# **Perpendicular**

#y=-2x+c#