Answer:
The given function is
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Notice that this function is linear, that means its graph is a straight line.
To graph a linear funtion you just need to use two coordinates.
For [tex]x=0[/tex]
[tex]f(0)=-\frac{1}{4}(0)-2=-2[/tex]
For [tex]y=0[/tex]
[tex]0=-\frac{1}{4}x-2\\ 2=-\frac{1}{4}x\\x=-8[/tex]
So, the points you need are [tex](0,-2)[/tex] and [tex](-8,0)[/tex].
The image attached shows the graph of the given function, where you can observe the two ponints we used.
