Given the equation of the line:
[tex]x=\frac{1}{2}y-\frac{1}{2}[/tex]To graph the line, we will assume two values for y and find the corresponding values of x
so, when y = 3,
[tex]x=\frac{1}{2}\cdot3-\frac{1}{2}=\frac{3}{2}-\frac{1}{2}=1[/tex]And when y = -1
[tex]x=\frac{1}{2}\cdot-1-\frac{1}{2}=-\frac{1}{2}-\frac{1}{2}=-1[/tex]So, the line passes through the points (-1, -1) and (1, 3)
Connect the points and extend the line from both ends
So, the graph of the line will be as shown in the following picture:
