Chapter 8.2, Problem 24E

To determine

To write:

The given equation in function form.Then graph the equation.

Answer to Problem 24E

The function form of our given equation would be $y=x-1$ .

Explanation of Solution

Given:

An equation: $y-x=-1$

Calculation:

To write the given equation in function form, we need to convert our equation in slope-intercept form $(y=mx+b)$ as:

  $\begin{array}{l}y-x=-1\left(\text{Given equation}\right)\\ y-x+x=-1+x\left(\text{Adding }x\text{ on both sides}\right)\\ y=x-1\end{array}$

Therefore, the function form of our given equation would be $y=x-1$ .

We can see that the slope of our given equation is $1$ and the y -intercept is $(0,-1)$ .

Upon graphing our given equation, we will get our required graph as shown below: