Find the distance between the parallel lines whose equations are below.

Question

y = 1/3x + 1

y =1/3x - 2

Answer 1

Let's use the simple formula:
shortest distance between the point (p,q) and ax + by + c = 0 is
|ap + bq + c| / √(a^2 + b^2)

pick any point on y = (1/3)x + 2, say (3,3)
change the second equation to the general form ax + by + c = 0 and
apply the formula I gave you