Answer:
y = (1/3)x + 1
Explanation:
A parallel line has the same slope as the reference line. This means the new equation would have a slope of (1/3). The y-intercept, -5, needs to be different. But since the line needs to pass through point (3,2), we need a value of b that will cause that to happen.
We can start with y = (1/3)x + b. As long as b is not -5, the line will be different and parallel. To force it through point (3,2), just enter those values and solve for b:
y = (1/3)x + b
2= (1/3)*3 + b
2 = 1 + b
b = 1
The equation becomes y = (1/3)x + 1.
See attached image.