Question 276186
<pre><font size = 4 color = "indigo"><b>
Let's plot the point (3,4)

Start with this:

{{{drawing(400,400,-6,6,-6,6,

grid(1) )}}} 


1. find 3 on the x-axis (the horizontal axis,
and draw a vertical line through it, like the green one below:


{{{drawing(400,400,-6,6,-6,6, green(line(3,-7,3,7)), grid(1),
green(line(2.98,-7,2.98,7)), green(line(3.07,-7,3.07,7)) )}}} 
 

2. find 4 on the y-axis (the vertical axis,
and draw a horizontal line through it, like the blue one below:

{{{drawing(400,400,-6,6,-6,6, green(line(3,-7,3,7)), grid(1),
green(line(2.98,-7,2.98,7)), green(line(3.07,-7,3.07,7)) 

blue(line(-7,4,7,4)), 
blue(line(-7,4.07,-7,4.07)), blue(line(-7,3.98,7,3.98)) 

)}}} 


3. Mark the point where the green line and the blue line cross,
and label it (3,4).  The 3 means it is in line with 3 on
the x-axis and the 4 means it is in line with 4 on the y-axis.



)}}} 
{{{drawing(400,400,-6,6,-6,6, green(line(3,-7,3,7)), grid(1),
green(line(2.98,-7,2.98,7)), green(line(3.07,-7,3.07,7)), 

blue(line(-7,4,7,4)), locate(3,4,"(3,4)"),
blue(line(-7,4.07,-7,4.07)), blue(line(-7,3.98,7,3.98)), 

line(3+.1,4,3-.1,4), line(3,4+.1,3,4-.1), line(3+.1,4+.1,3-.1,4-.1), line(3+.1,4-.1,3-.1,4+.1) )}}}

4. Finally, erase the green and blue lines:

{{{drawing(400,400,-6,6,-6,6,  grid(1),
  locate(3,4,"(3,4)"), 

line(3+.1,4,3-.1,4), line(3,4+.1,3,4-.1), line(3+.1,4+.1,3-.1,4-.1), line(3+.1,4-.1,3-.1,4+.1) )}}}



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Now let's plot the point (-5,1)


{{{drawing(400,400,-6,6,-6,6,

grid(1) )}}} 


To plot the point (-5,1) 

1. find -5 on the x-axis (the horizontal axis,
and draw a vertical line through it, like the green one below:


{{{drawing(400,400,-6,6,-6,6, green(line(-5,-7,-5,7)), grid(1),
green(line(-4.98,-7,-4.98,7)), green(line(-5.07,-7,-5.07,7)) )}}} 

2. find 1 on the y-axis (the vertical axis,
and draw a horizontal line through it, like the blue one below:

{{{drawing(400,400,-6,6,-6,6, green(line(-5,-7,-5,7)), grid(1),
green(line(-4.98,-7,-4.98,7)), green(line(-5.07,-7,-5.07,7)) 

blue(line(-7,1,7,1)), 
blue(line(-7,1.07,-7,1.07)), blue(line(-7,.98,7,.98)) 
)}}} 
Mark the point where the green line and the blue line cross,
and label it (-5,1).  The -5 means it is in line with -5 on
the x-axis and the 1 means it is in line with 1 on the y-axis.

{{{drawing(400,400,-6,6,-6,6, green(line(-5,-7,-5,7)), grid(1),
green(line(-4.98,-7,-4.98,7)), green(line(-5.07,-7,-5.07,7)), 

 blue(line(-7,1,7,1)), 
blue(line(-7,1.07,-7,1.07)), blue(line(-7,.98,7,.98)), 
locate(-5,1,"(-5,1)"), 
line(-5+.1,1,-5-.1,1), line(-5,1+.1,-5,1-.1), line(-5+.1,1+.1,-5-.1,1-.1), line(-5+.1,1-.1,-5-.1,1+.1) )}}}

4. Finally, erase the green and blue lines:

{{{drawing(400,400,-6,6,-6,6,  grid(1),
  locate(-5,1,"(-5,1)"), 

line(-5+.1,1,-5-.1,1), line(-5,1+.1,-5,1-.1), line(-5+.1,1+.1,-5-.1,1-.1), line(-5+.1,1-.1,-5-.1,1+.1) )}}}


Edwin</pre>