Answer:
The equation of the parallel line would be y = 1/3x - 4/3
Step-by-step explanation:
First, we have to note that parallel lines have the same slope. So, since the original line has a slope of 1/3, the parallel line will also have a 1/3 slope. Now, we can use this slope and the point in point-slope form.
y - y1 = m(x - x1)
y - -2 = 1/3(x - -2)
y + 2 = 1/3(x + 2)
y + 2 = 1/3x + 2/3
y = 1/3x - 4/3