Chapter 9.2, Problem 31IP

To determine

To graph : the function by plotting ordered pairs

Explanation of Solution

Given information :

The function is

  $y=2x+2$

Graph :

Find the intercepts

Let $y=0$ to find the $x$ -intercept

  $\begin{array}{l}y=2x+2\\ 0=2x+2\\ -2x=2\\ x=-\frac{2}{2}\\ x=-1\end{array}$

Since $x=-1$ when $y=0$ ,graph the ordered pair $\left(-1,0\right)$ .

Let $x=0$ to find the $y$ -intercept

  $\begin{array}{l}y=2x+2\\ y=2\left(0\right)+2\\ y=2\end{array}$

Since $y=2$ when $x=0$ ,graph the ordered pair $\left(0,2\right)$ .

Therefore, the graph is obtained as

Interpretation : From the above graph it can be observed that that ordered pairs are $\left(-1,0\right)$ and $\left(0,2\right)$ .