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.
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2
the slope of the two lines are equal.
ax+by+c=0
ax'+by'+d=0
ax+by+c=0
ax'+by'+d=0
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Answer:
Two parallel lines will have the same slope. The slopes of parallel lines have to be equal. The y-intercepts of those two lines have to be different, otherwise they would be the same line. The x-intercepts of the parallel lines would also be different.
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