Hi

2x-3y+1=0  OR y = (2/3)x + 1/3 |parallel lines have identical slopes

 



New Line

 y = (2/3)x -2.3 

OR Format: 2x - 3y - 6.9 = 0   |multiplying thru by 3 and using setting = 0 format 

Answer by checkley79(3341)   (Show Source): You can put this solution on YOUR website!
 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 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 

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