Answer:
y = x - 1
Step-by-step explanation:
If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for. Â
To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x
Then, to get the y positive, divide by -1: Â Â y = -7 + x
Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1.
You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b. Â
x=1; y=0; m=1. Â
So, substituting, you'd get 0 = (1)(1) + b
0=1+b   Solve
You should get b= -1, leaving your final answer as y = x - 1
