Question

Graph y = -1/4x + 6 on a sheet of paper by hand

Answer 1

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,

`\begin{gathered} -(1)/(4)x+6=0 \\ \text{ This implies that} \\ -(1)/(4)x=-6 \\ \Rightarrow x=(-6)/((-1)/(4))=-6*(-4)=24 \end{gathered}`

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.