Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to be different? Explain your reasoning.

Parallel lines must have the same slope. However for them to be UNIQUE lines, ie different lines, they must have a different y-intercept.

So if we say generally that a line is y=mx+b where m is the slope and b is the y-intercept then these two unique parallel lines would be:

y1=mx+h and y2=mx+k

Where m is the same for both and each have unique constants h and k where they cross the y-axis

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kapoorprachi783 kapoorprachi783 · Answer 2 · 2022-06-08T11:47:53+02:00

Lines that are parallel have the same steepness (or the same angle from the horizontal). Since parallel lines have the same steepness, they have the same slope. Non-vertical parallel lines have the same slopes. The slopes are equal.

What are the aspects of two parallel lines?

The pair of corresponding angles are equal, then the two straight lines are parallel to each other. the pair of alternate angles are equal, then the two straight lines are parallel to each other. the pair of interior angles on the same side of the transversal is supplementary, then the two straight lines are parallel.

What makes parallel lines different?

Any two lines are said to be parallel if the Alternate interior angles so formed are equal. Any two lines are said to be parallel if the Alternate exterior angles so formed are equal.

Learn more about parallel lines here: brainly.com/question/6075222

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