Question

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.​

Answer 1

Both lines are parallel, so they have the same slope. However, the y-intercepts of the lines are not the same. For the lines to be parallel, the slopes of the lines must be the same. If both the y-intercept and slope are the same, they are the same line, so they do not have the same y-intercept.

Answer 2

Both the lines would have the same slope since they are parallel. The lines would not however have the same y-intercept.

Explanation:

This is because in order for lines to be parallel the lines must have the same slope, otherwise they would meet at some point. They would not have the same y-intercept because if both the y-intercept and the slope were the same it would be the same line.