Respuesta :

Answer:

the desired equation is

y = (1/3)x - 2.

Step-by-step explanation:

Note that the given line has a slope of 1/3.  A new line parallel to the given line will also have the slope 1/3.  The new line goes through the point (3, -1).

Start with the equation y = mx + b.  Let y = -1, x = 3, m = 1/3.

Then:  -1 = (1/3)(3) + b, or b = -2.

Then the desired equation is

y = (1/3)x - 2.