Question

Input the equation for the following line. Reduce all fractional answers to lowest terms.

A line that passes midway between and is parallel to both x - y = 6 and x - y = -6.

Answer 1

You may wish to consider the y-intercepts and ponder the meaning of "midway between".

Answer 2

I am not going to lie, I am still completely lost.

Answer 3

No, you're not.

If one person is walking down 600 North Street,
and another person is walking down 600 South Street,
where is the person walking who is exactly between them?

Answer 4

Obviously zero, but the issue I am having is taking that information and using it to make an equation.

Answer 5

No, you just solved the problem. See, it was obvious.

Answer 6

But 0 is not an equation.

Answer 7

It isn't going to bite you. Think on it a bit.

x - y = 6 -- y-intercept is what?
x - y = -6 -- y-intercept is what?
Are these two lines parallel?

Answer 8

Y intercept is 6 and -6, the lines are parallel.

Answer 9

Okay, what do you think of this line?

x - y = 0

??

Answer 10

Yes, thank you.

Answer 11

You can write parallel lines all day.

x - y = 3
x - y = 2
x - y = 1
x - y = -1
x - y = 5
x - y = 207

You just have to pick the right one. :-)