Chapter 8.2, Problem 26E

To determine

To write:

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

Answer to Problem 26E

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

Explanation of Solution

Given:

An equation: $3x-y=5$

Calculation:

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

  $\begin{array}{l}3x-y=5\left(\text{Given equation}\right)\\ 3x-3x-y=5-3x\left(\text{Subtracting 3}x\text{ from both sides}\right)\\ -y=-3x+5\\ -y(-1)=-1(3x-5)\left(\text{Multiplying both sides by }-1\right)\\ y=3x-5\end{array}$

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

We can see that the slope of our given equation is $3$ and the y -intercept is $(0,-5)$ .

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