Given that line y = 1/3x + 2, write an equation in slope-intercept form of a parallel line that passes through (-2, -2). !

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