Question

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

$2x+y=1$

Short answer

The function form of the equation is $y=-2x+1$.

Step-by-step solution

Step 1. Given information.

The given equation is $2x+y=1$.

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:

$\begin{array}{c}2x+y=1\left(\text{Givenequation}\right)\\ 2x-2x+y=1-2x\left(\text{Subtracting2}x\text{frombothsides}\right)\\ y=-2x+1\end{array}$

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

We can see that the slope of our given equation is $-2$ 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.