what is the equation of the line that is parallel to this equation y= 1/3x+4 and passes through the point (3,1)

Answer 1

Write:

y = (1/3)x + 4.

Next build the equation form y = (1/3)x + b

and place (x,y) = (3,1) to obtain:

1 = (1/3)3 + b.

Then progress to 1 = 1 + b, which gives b = 0.

Place b = 0 into y = (1/3)x + b.

Then write the equation sought as y = (1/3)x + 0 or y = (1/3)x.