Answer:
y = 1/3x -2
Explanation:
A version of the point-slope form of the equation of a line can be helpful for this. The slope of a parallel line is the same as the slope of the original. For the line given in slope-intercept form we see that the slope is the coefficient of x, which is 1/3.
The point-slope equation can be written ...
y = m(x -h) +k . . . . . . for slope m and point (h, k)
You want a line with slope 1/3 through point (3, -1), so this equation becomes ...
y = 1/3(x -3) -1
y = 1/3x -2 . . . . . . . simplified to slope-intercept form