If line j has slope m, what is the slope of a line parallel to line j?

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Multiple Choice

If line j has slope m, what is the slope of a line parallel to line j?

Explanation:
Parallel lines share the same slope because they rise and run at the same rate, so they never intersect. If line j has slope m, any line parallel to it must have the same rate of change, hence slope m. This holds for all non-vertical cases; if line j had a finite slope m, the parallel line’s slope is also m. If line j were vertical, its slope is undefined, and any line parallel to it would also be vertical with undefined slope. So the slope of a line parallel to line j is m.

Parallel lines share the same slope because they rise and run at the same rate, so they never intersect. If line j has slope m, any line parallel to it must have the same rate of change, hence slope m. This holds for all non-vertical cases; if line j had a finite slope m, the parallel line’s slope is also m. If line j were vertical, its slope is undefined, and any line parallel to it would also be vertical with undefined slope. So the slope of a line parallel to line j is m.

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