Question

graph the linear equation
y = \frac{1}{2}
use the graphing tool to graph the equation
click to enlarge graph

Explanation:

Step1: Identify the form of the equation

The equation $y = \frac{1}{2}$ is a horizontal - line equation where for all values of $x$, $y=\frac{1}{2}$.

Step2: Plot points

We can choose any values of $x$. For example, when $x=- 2,y = \frac{1}{2}$; when $x = 0,y=\frac{1}{2}$; when $x = 2,y=\frac{1}{2}$. Plot the points $(-2,\frac{1}{2})$, $(0,\frac{1}{2})$, $(2,\frac{1}{2})$ on the coordinate - plane.

Step3: Draw the line

Connect the plotted points with a straight line. This line is parallel to the $x$ - axis and passes through the point $(0,\frac{1}{2})$ on the $y$ - axis.

Answer:

The graph is a horizontal line passing through the point $(0,\frac{1}{2})$ on the $y$ - axis. For any value of $x$, the value of $y$ is $\frac{1}{2}$.