The expression y = - 1/4 x +6 is the equation of a line, when we want to plot a line we just need to find two points of it and then link them with the line segment.
First let's find the points, we can do this by replacing a value into x and calculating the corresponding value of y with the equation of the line, let's do it with x=0 and x=4, like this:
[tex]\begin{gathered} y(0)=-\frac{1}{4}\times(0)+6=0+6=6 \\ y(4)=-\frac{1}{4}\times(4)+6=-\frac{4}{4}+6=-1+6=5 \end{gathered}[/tex]Now that we know that the line goes through the points (0,6) and (4,5), let's graph it:
