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

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.  hope it helps

Step-by-step explanation:

Answer 2

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