Chapter 3.1, Problem 7CYU

To determine

To sketch: the graph of the given equation by using $x$ and $y$ intercepts.

Explanation of Solution

Given information:

Given equation,

  $y=4+x$

Calculation:

Consider the given equation,

  $y=4+x$

To find $x$ intercept $y$ is made 0 and variable $x$ is to be solved thereby,

  $\begin{array}{c}y=4+x\\ 0=4+x\\ x=-4\end{array}$

Therefore, $x$ intercept is $\left(-4,0\right)$

To find the $y$ intercept $x$ is made as 0 and variable $y$ is to be solved.

  $\begin{array}{c}y=4+x\\ y=4+0\\ y=4\end{array}$

Therefore, $y$ intercept is $\left(0,4\right)$ .

Graph:

  

The above graph shows the $x$ and $y$ intercepts as $\left(-4,0\right)$ and $\left(0,4\right)$ respectively. The equation of the joining these intercepts is $y=4+x$