<u>The data was modified to give you a complete explanation and help to solve your problem.</u>
Answer:
![y=1-x](https://tex.z-dn.net/?f=y%3D1-x)
Step-by-step explanation:
<u>A line passing through two points</u>
Given two points A(x1,y1) and B(x2,y2), the equation of the line passing through them is:
![\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The question provides the points (1,0) and (1,0). Note both points are the same. They cannot be used because there is not a unique line passing through a single point.
We'll use the points (0,1) and (1,0) instead.
![\displaystyle y-1=\frac{0-1}{1-0}(x-0)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-1%3D%5Cfrac%7B0-1%7D%7B1-0%7D%28x-0%29)
![\displaystyle y-1=\frac{-1}{1}(x-0)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-1%3D%5Cfrac%7B-1%7D%7B1%7D%28x-0%29)
![\displaystyle y-1=-x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-1%3D-x)
Reducing:
![\boxed{y=1-x}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D1-x%7D)