Chapter 13, Problem 15CT

To determine

To graph: The linear equation $y=5$ .

Explanation of Solution

Given information: The linear equation is $y=5$ .

Graph:

The slope-intercept form of a line is $y=mx+c$ . Here, $m$ is the slope of line and $c$ is y -intercept.

Compare $y=mx+c$ with linear equation $y=5$ .

  $\begin{array}{l}m=0\\ c=5\end{array}$

As the slope of the given equation is zero, so the graph of line will be parallel to x -axis.

Now, draw the graph of line that intersects the y -axis at $\left(0,5\right)$ parallel to x -axis as shown below.

  

Figure (1)

Interpretation: As $x$ increases, $y$ remains constant. The slope of graph is zero, so the graph of line will be parallel to x -axis.