Answer:

Step-by-step explanation:
The given equation is

The slope of this line

Since all parallel lines have the same slope, the slope of our line is also m=1.
We now use the point-slope formula

Since the line passes through (-1,-1)
We gave

We substitute the slope and point to get



We have:
The generic equation of the line is: y-yo = m (x-xo)
The slope is:
m = (y2-y1) / (x2-x1)
m = (- 2-0) / (3-0)
m = -2 / 3
We choose an ordered pair
(xo, yo) = (0, 0)
Substituting values:
y-0 = (- 2/3) (x-0)
Rewriting:
y = (- 2/3) x
Answer:
The equation of the line is:
y = (- 2/3) x