Question

Write the equation in function form. Then graph the equation.

$y-x=-1$

Short answer

The function form of the equation is $y=x-1$.

Step-by-step solution

Step 1. Given information.

The given equation is $y-x=-1$.

Step 2. Calculation.

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

$\begin{array}{c}y-x=-1\left(\text{Givenequation}\right)\\ y-x+x=-1+x\left(\text{Adding}x\text{onbothsides}\right)\\ y=x-1\end{array}$

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 $\left(0,-1\right)$.

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

Step 3. Conclusion.

The above graph is the required graph.