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Q24.

Expert-verified
Found in: Page 410

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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# Write the equation in function form. Then graph the equation.$y-x=-1$

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

See the 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:

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

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

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

## Step 3. Conclusion.

The above graph is the required graph.

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