Are the lines parallel? y = x + 4 and y = x-2 A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

And:

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

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