The line 3y−6x+9=0 is parallel to which other line?

Answer 1

It is parallel to any line with the same slope. You must get the equation into slope intercept form by isolating the y.

3y-6x+9=0

3y=6x-9 Add 6x and subtract 9 to move them to the other side.

Y=2x-3 Divide by 3 to get y by itself.

Y=mx+b where the m is slope. Therefore, the slope is 2. Any line with a slope of 2 is parallel.

Answer 2

To infinitely many other lines. One example is the line 3y-6x=0. Another is 3y-6x+10=0.