Chapter 8.2, Problem 27E

To determine

To write:

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

Answer to Problem 27E

The function form of our given equation would be $y=3x-5$ .

Explanation of Solution

Given:

An equation: $8x+2y=-4$

Calculation:

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

  $\begin{array}{l}8x+2y=-4\left(\text{Given equation}\right)\\ 8x-8x+2y=-4-8x\left(\text{Subtracting 8}x\text{ from both sides}\right)\\ 2y=-8x-4\\ \frac{2y}{2}=\frac{-8x}{2}-\frac{4}{2}\left(\text{Dividing both sides by }2\right)\\ y=-4x-2\end{array}$

Therefore, the function form of our given equation would be $y=-4x-2$ .

We can see that the slope of our given equation is $-4$ and the y -intercept is $(0,-2)$ .

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