Question

Given the lines below, create a line that is parallel, one that is perpendicular, and one that is neither. Y = -6Parallel: Perpendicular: Neither:

Answer 1

Given:

`y=-6`

The slope of the given line is zero.

a) parallel line: Parallel lines have the same slope. Any line whose slope is x=zero will be parallel to line y=-6.

So, one equation can be,

`y=-2`

2) Perpendicular line

Clearly the line y=-6 is the horizontal line having a slope of 0.

So, the line perpendicular to this line will be a verticle line with an undefined slope.

And its equation is of the form x = a.

The equation can be,

`x=2`

c) The lines which are neither parallel nor perpendicular will be just the intersecting lines.

The equation can be,

`y=x+1`