Question

For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.

Answer 1

The slope of the parallel line is undefined and the slope of the perpendicular line is 0

How to determine the slope?

The equation is given as:

x = 1

The above do not have any y value.

This means that the slope of the line is undefined

i.e.

m = undefined

The slope of the parallel line is:

Slope = m

This gives

Slope = undefined

The slope of the perpendicular line is:

Slope =-1/m

This gives

Slope = -1/undefined

Slope = 0

Hence, the slope of the parallel line is undefined and the slope of the perpendicular line is 0

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