Answer:
Step-by-step explanation:
3x + 2y - 5 = 0 re-arrange to y = mx + b form :
y = -3/2 x + 5/3 slope is m = - 3/2
parallel slope is the same value
so...the start of your new line is
y = - 3/2 x + b substitute in the gieven point to calculate 'b'
- 5 = - 3/2 ( 3) + b
b = - 1/2
You requested line is then
y = - 3/2 x - 1/2
Here is a picture: