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.

The aspect of the lines that are the same is that they have the same slope while the aspect of the lines that are different is that they have different x and y-intercepts

Parallel lines are lines that do not meet in a xy-plane

If the parallel lines are vertical lines, they will both cut the x-axis at different points showing that they will have different x-intercept.

Similarly, if the parallel lines are horizontal lines, they will both cut the y-axis at different points showing that they will have different y-intercept.

Parallel lines are also known to have the same slope. This is the aspect that is common to both lines.

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