Answered

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

Sagot :

Given:

[tex]y=-6[/tex]

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,

[tex]y=-2[/tex]

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,

[tex]x=2[/tex]

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

The equation can be,

[tex]y=x+1[/tex]

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