How do you graph the line #x+4y=4#?

1 Answer
Jun 22, 2016

Answer:

Select at least two sets of coordinates that satisfy the given equation;
plot these points;
draw a line through the points.

Explanation:

Given the equation #x+4y=4#

Its is probably easiest to find values of #x# for a few simple values of #y#

#{: (underline(y),rarr,underline(x)), (0,rarr,4), (1,rarr,0), (2,rarr,-4) :}#
so we have coordinate points:
#color(white)("XXX")(x,y) in {(4,0), (0,1), (-4,2)}#

Plotting these coordinates and drawing a line through them:
graph{((x-4)^2+y^2-0.02)(x^2+(y-1)^2-0.02)((x+4)^2+(y-2)^2-0.02)(x+4y-4)=0 [-7.023, 7.024, -3.51, 3.513]}

Note that two coordinates would have been sufficient but use of at least three helps ensure no accidental errors.