Given the function :
[tex]y=\frac{1}{2}x-3[/tex]We will find the correct option using the intercepts
X - intercept is the value of x when y = 0
So, when y = 0
[tex]\begin{gathered} 0=\frac{1}{2}x-3 \\ 3=\frac{1}{2}x \\ \\ x=6 \end{gathered}[/tex]Y - intercept is the value of y when x = 0
So, when x = 0
[tex]\begin{gathered} y=\frac{1}{2}\cdot0-3 \\ \\ y=-3 \end{gathered}[/tex]So, the graph if the line must pass through the points :
( 6 , 0 ) and ( 0 , -3 )
We will check the graphs to find the correct option
So, the last graph
Which is as the following :
