For the graph x = 12 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

The slope of line perpendicular to our given line would be 0.

The slope of line parallel to our given line would be undefined.

Step-by-step explanation:

We have been given an equation of a line . We are asked to find the slope of a line that is perpendicular to it and the slope of a line parallel to it.

We know that our given equation represent a vertical line that intersects x-axis at point .

The slope of parallel line to our given line would be equal to slop of line . Since the horizontal change (run) is 0 for our given as x is constant for any value of y.

We know that slope of a line is equal to rise over run. Since run is 0 for our given equation and any number divided by 0 is undefined, so slope of the line parallel to our given line would be undefined.

We know that our given line is a vertical line, so any horizontal line will be perpendicular to our given line.

We know that rise of a horizontal line is 0 and 0 divided by any number is 0. Therefore, the slope of line perpendicular to our given line would be 0.

c is the correct answer

step-by-step explanation:

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