Question

What is the slope of the line through (1,0)(1,0)?

Answer 1

The data was modified to give you a complete explanation and help to solve your problem.

Answer:

`y=1-x`

Explanation:

A line passing through two points

Given two points A(x1,y1) and B(x2,y2), the equation of the line passing through them is:

`\displaystyle y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

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=(0-1)/(1-0)(x-0)`

`\displaystyle y-1=(-1)/(1)(x-0)`

`\displaystyle y-1=-x`

Reducing:

`\boxed{y=1-x}`