Question

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​

Answer 1

A

Explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

`y=x+4`

And:

`y=x-2`

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

`y=(1)x+4`

Therefore, the slope of the first equation is 1.

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

`y=(1)x-2`

The slope of the second equation is also 1.

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

Thus, our correct answer is A.