Question

Solve for the distance between the lines:
2x-3y=1
-x+(2/3y) =3

Answer 1

can you solve each for "y"?

Answer 2

First are the lines parallel and the distance is constant? Or will they eventually intersect and the distance could be 0.

Answer 3

Do as @jdoe0001 has suggested and note the slope for each line.

Answer 4

Oops. The lines are parallel. The second equation is -x+(3/2y) =3 not -x+(2/3y) =3

Answer 5

if you solve for "y" you'll notice the lines are indeed parallel, and they have a y-intercept, the distance between the y-intercepts of each will be the distance between the lines

Answer 6

O.K. Much better.