Question 704873
ONE WAY TO DO IT:
To graph a linear equation you just need 2 points.
You can calculate the y-coordinate for 2 values of x,
plot the points, and connect them with a line.
I could pick {{{x=0}}} and {{{x=5}}}.
For {{{x=0}}} {{{y=(3/5)*0-2}}} --> {{{y=-2}}} gives point (0,-2)
For {{{x=5}}} {{{y=(3/5)*5-2}}} --> {{{y=3-2}}} --> {{{y=1}}} gives point (5,1)
{{{drawing(350,250,-1,6,-3,2,
grid(1),blue(circle(0,-2,0.1)),
blue(circle(5,1,0.1)),blue(line(-5,-5,10,4))
)}}}
 
ANOTHER WAY:
You may be used to equations like y=2x+1,
where you knew the y-intercept is 1,
and that gave you the point with y=1 on the y-axis (where x=0).
Then you would notice that the slope is 2,
and would plot points for x=1, x=2, x=3, increasing the y-coordinate by 2 each time.
 
Slopes can be positive, or negative; they can be fractions too.
A slope of {{{3/5}}} means that for a "run" of {{{5}}} (as x increases by 5)
the "rise" is {{{3}}} (the change in y is 3, y increases/rises by 3).
So for {{{y=(3/5)x-2}}},
from the point you would mark with y=-2 on the y-axis,
you move 5 units to the right and 3 units up top mark the next point.
Then you can repeat the same moves to mark more points,
and you can reverse them (5 left, 3 down) to go in the other direction.
{{{drawing(300,200,-12,12,-10,6,
grid(1),
blue(circle(0,-2,0.4)),blue(circle(5,1,0.4)),blue(circle(10,4,0.4)) ,
blue(circle(-5,-5,0.4)),blue(circle(-10,-8,0.4))
)}}}