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:
- 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:
- 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:
In this case, we must first rearrange the equation to be in the
- Parallel
#y=1/2x+c# - Perpendicular
#y=-2x+c#
