Answer:
[tex]y = 1/3x-2[/tex]
Step-by-step explanation:
General line equation:
[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
Or
[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]
where a is the slope and b is vertical displacement.
For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.
By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,
[tex]y = 1/3x - 2[/tex]
