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 gradient would have to be the same in the two lines, as parallel lines are lines that will never touch and they can only do that with the sand gradient (which is the same as slope). The y-intercept would have to be different, as if they had the same slope and intercept, they wouldn't be two different lines anymore. I hope this helps!

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abidemiokin abidemiokin · Answer 2 · 2021-11-02T14:45:29+01:00

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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