Question

How do you graph the line `y=1/4x+4`?

Answer 1

Determine 2 or 3 coordinates by evaluating the expression of values of `y` corresponding to arbitrary values for `x`;
plot these coordinates on the Cartesian plane;
draw a line through the points.

Explanation:

Given `y=1/4x+4`

Some convenient, arbitrary values for `x` might be multiples of `4` (to avoid fractions),

#{: (y=1/4x+4,,), (,color(white)("X")underline(x),color(white)("X")underline(y)), (,-4,color(white)("X")3), (,color(white)("X")0,color(white)("X")4), (,color(white)("X")4,color(white)("X")5) :}#

Plot the coordinates `(-4,3), (0,4), and (4,5)`
graph{((x+4)^2+(y-3)^2-0.02)(x^2+(y-4)^2-0.02)((x-4)^2+(y-5)^2-0.02)=0 [-5.76, 6.724, 0.15, 6.393]}

Then draw a line through these points:
graph{((x+4)^2+(y-3)^2-0.02)(x^2+(y-4)^2-0.02)((x-4)^2+(y-5)^2-0.02)(y-1/4x-4)=0 [-5.76, 6.724, 0.15, 6.393]}