Chapter 8.2, Problem 25E

To determine

To write:

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

Answer to Problem 25E

The function form of our given equation would be $y=-2x+1$ .

Explanation of Solution

Given:

An equation: $2x+y=1$

Calculation:

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

  $\begin{array}{l}2x+y=1\left(\text{Given equation}\right)\\ 2x-2x+y=1-2x\left(\text{Subtracting 2}x\text{ from both sides}\right)\\ y=-2x+1\end{array}$

Therefore, the function form of our given equation would be $y=-2x+1$ .

We can see that the slope of our given equation is $-2$ and the y -intercept is $(0,1)$ .

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