To graph by hand,
we first find the intercepts on a sheet of paper.
When x = 0
y = -1/4(0) + 6= 0 + 6 = 6
The point with the y-intercept is (0, 6).
When y = 0,
[tex]\begin{gathered} -\frac{1}{4}x+6=0 \\ \text{ This implies that} \\ -\frac{1}{4}x=-6 \\ \Rightarrow x=\frac{-6}{\frac{-1}{4}}=-6\times(-4)=24 \end{gathered}[/tex]
Therefore,
the point with x-intercept is (24, 0)
Next,
plot the two points (0, 6) and (24, 0) on the sheet of paper.
And join the two points on the sheet of paper with a straight line.
