step 1
Find out the equation of the line in slope-intercept form
y=mx+b
we have
m=-1/3
point (-2,3)
substitute and solve for b
3=-(1/3)(-2)+b
3=(2/3)+b
b=3-(2/3)
b=7/3
so
y=-(1/3)x+7/3
step 2
To graph the line we need at least two points
For x=1
y=-(1/3)(1)+7/3
y=2
point (1,2)
Now we have the points
(-2,3) and (1,2)
so
Plot them and join to graph the line
see the attached figure
