Question 114319
First start by solving for y:

{{{y-2=x-3}}}
{{{y=x-1}}}


Now pick a couple of values for x.  Let's start with x = 1.  If x = 1 then {{{y=1-1=0}}}, so one of the points on the line is (1, 0).


Let's try x = 2.  If x = 2, then {{{y=2-1=1}}}, so the point (2, 1) is on the line.


Actually, two points is all you need to create a graph of a straight line.


You plot the two points and then construct a line through them.


Here's what it looks like:


{{{drawing(400, 400, -5, 5, -5, 5,
grid(1),
green(line(6, 5, -5, -6)),
locate(1,-.3,A(1,0)),
locate(2,.9,B(2,1)),
red(circle(1,0,.1)),
red(circle(2,1,.1))
)}}}