Chapter 4.4, Problem 10PPE

To determine

To graph: The equation $y=2x+5$ on the graph paper.

Explanation of Solution

Given:

The equation is $y=2x+5$ .

Calculation:

Substitute $x=0$ in the given equation to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left(0\right)+5\\ =0+5\\ =5\end{array}$

Substitute $x=1$ in the given equation to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left(1\right)+5\\ =2+5\\ =7\end{array}$

Substitute $x=2$ in the given equation to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left(2\right)+5\\ =4+5\\ =9\end{array}$

Substitute the obtained values in the table given below.

$x$	$y$
0	5
1	7
2	9

Plot the points and join them to obtain the graph as follows: