Question 114461
First let's plot (-4,4)


Start at the origin (where the the x and y axis intersect)


Now move your pencil 4 units to the left

We move 4 units in this direction since the x-coordinate is -4 (its the first number of the pair)




{{{drawing(500,500,-6,6,-6,6,
grid(1),
blue(arc(-0.5,0,1,2,0,180)),
blue(arc(-1.5,0,1,2,0,180)),
blue(arc(-2.5,0,1,2,0,180)),
blue(arc(-3.5,0,1,2,0,180))
)}}}


Now go 4 units up

We move 4 units in this direction since the y-coordinate is 4 (its the second number of the pair)



{{{drawing(500,500,-6,6,-6,6,
grid(1),
blue(arc(-0.5,0,1,2,0,180)),
blue(arc(-1.5,0,1,2,0,180)),
blue(arc(-2.5,0,1,2,0,180)),
blue(arc(-3.5,0,1,2,0,180)),
green(arc(-4,0.5,1,1,90,270)),
green(arc(-4,1.5,1,1,90,270)),
green(arc(-4,2.5,1,1,90,270)),
green(arc(-4,3.5,1,1,90,270))
)}}}


Plot a point where the pencil lands


{{{drawing(500,500,-6,6,-6,6,
grid(1),
circle(-4,4,0.08),
circle(-4,4,0.10),
blue(arc(-0.5,0,1,2,0,180)),
blue(arc(-1.5,0,1,2,0,180)),
blue(arc(-2.5,0,1,2,0,180)),
blue(arc(-3.5,0,1,2,0,180)),
green(arc(-4,0.5,1,1,90,270)),
green(arc(-4,1.5,1,1,90,270)),
green(arc(-4,2.5,1,1,90,270)),
green(arc(-4,3.5,1,1,90,270))
)}}}


So here is the point (-4,4)


{{{drawing(500,500,-6,6,-6,6,
grid(1),
circle(-4,4,0.08),
circle(-4,4,0.10)
)}}}



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Now let's plot (2,-4)



Start at the origin (where the the x and y axis intersect)


Now move your pencil 2 units to the right

We move 2 units in this direction since the x-coordinate is 2 (its the first number of the pair)




{{{drawing(500,500,-6,6,-6,6,
grid(1),
blue(arc(0.5,0,1,2,180,0)),
blue(arc(1.5,0,1,2,180,0))
)}}}


Now go 4 units down

We move 4 units in this direction since the y-coordinate is -4 (its the second number of the pair)



{{{drawing(500,500,-6,6,-6,6,
grid(1),
blue(arc(0.5,0,1,2,180,0)),
blue(arc(1.5,0,1,2,180,0)),
green(arc(2,-0.5,1,1,270,90)),
green(arc(2,-1.5,1,1,270,90)),
green(arc(2,-2.5,1,1,270,90)),
green(arc(2,-3.5,1,1,270,90))
)}}}


Plot a point where the pencil lands


{{{drawing(500,500,-6,6,-6,6,
grid(1),
circle(2,-4,0.08),
circle(2,-4,0.10),
blue(arc(0.5,0,1,2,180,0)),
blue(arc(1.5,0,1,2,180,0)),
green(arc(2,-0.5,1,1,270,90)),
green(arc(2,-1.5,1,1,270,90)),
green(arc(2,-2.5,1,1,270,90)),
green(arc(2,-3.5,1,1,270,90))
)}}}


So here is the point (2,-4)


{{{drawing(500,500,-6,6,-6,6,
grid(1),
circle(2,-4,0.08),
circle(2,-4,0.10)
)}}}




So putting these two points together, we get


{{{drawing(500,500,-6,6,-6,6,
grid(1),
circle(2,-4,0.08),
circle(2,-4,0.10),
circle(-4,4,0.08),
circle(-4,4,0.10)
)}}} The points (-4,4) and(2,-4) plotted on the same coordinate system.