we have
[tex]f(x)=\frac{1}{2}x+2[/tex]
To graph the line find the x and y intercepts
we know that
The x-intercept is the value of x when the value of y is equal to zero
The y-intercept is the value of y when the value of x is equal to zero
so
Find the y-intercept
For [tex]x=0[/tex]
[tex]f(0)=\frac{1}{2}*0+2=2[/tex]
the y-intercept is the point [tex](0,2)[/tex]
Find the x-intercept
For [tex]y=0[/tex]
[tex]0=\frac{1}{2}x+2\\x=-4[/tex]
the y-intercept is the point [tex](-4,0)[/tex]
Using a graphing tool
Plot the points to graph the line
therefore
the answer in the attached figure
