Answer:
y - 1 = (1/3)(x + 1)
Explanation:
Look carefully at (0, -3) and (2, 3). As we move from the first to the second, x increases by 2 (from 0 to 2) and y increases by 6 (from -3 to 3). Therefore, the slope of this line is m = rise / run, or m = 6/2, or m = 1/3. Both lines have the same slope, 1/3, because they are parallel.
Now let's apply the point-slope form of the equation of a straight line. Here the point in question is (-1, 1) and the slope is 1/3. Therefore, we have:
y - 1 = (1/3)(x + 1)