Question 408219
y intercept= -2.3 ; parallel to 
2x-3y+1=0
-3y=-2x-1
y=-2x/-3-1/-3 
y=2x/3+1/3 is the parallel line with a slope(m)=2/3. (red line)
The arallel line will also have a slope=2.3.
y=2x/3-2.3 ans. (green line).
 {{{ graph( 300, 200, -6, 5, -10, 10, 2x/3 +1/3, 2x/3 -2.3) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 +1/3 and 2x/3 -2.3). 
Your answer [2x-3y-6.9=0] is also an answer.
Multiply my answer (y=2x/3-2.3) by 3 & you get:
3y=2x-6.9
OR:
2x-3y-6.9=0