Answer:
To find the y-intercept, we substitute x=0 in the given equation:
[tex]\begin{gathered} y=\frac{1}{2}\cdot0+3, \\ y=3. \end{gathered}[/tex]
Therefore, the y-intercept has coordinates (0,3).
To find the x-intercept, we set y=0, and solve for x:
[tex]\begin{gathered} 0=\frac{1}{2}x+3, \\ 0-3=\frac{1}{2}x+3-3, \\ -3=\frac{1}{2}x, \\ 2\cdot(-3)=2\cdot(\frac{1}{2}x), \\ x=-6. \end{gathered}[/tex]
Therefore, the x-intercept has coordinates (-6,0).
Finally, the graph of the given equation is:
