Answer:
The line parallel to y = x-10 is y = x(+or-)b
where b is any number other than -10.
Step-by-step explanation:
Since I don't have the options, I'm can't tell you exactly what your looking for, but parallel lines have the same slope with different y intercepts.
This means that in the formula y=mx+b, m must be the same, but b must be different.
In your equation, m is 1, so a possible parallel lines would be y = x+5 or y = x-8
Your answer is y = x - 7
Two lines are parallel if they have the same slope, which means if the number attached to the x term is the same in both equations. For example, the lines y = 2x + 1 and y = 2x - 7 are parallel because they both have 2x.
With this rule, we can see that a line parallel to y = x - 10 must have an x term of 1, and the only option given that has that is y = x - 7.
I hope this helps!
