Answer:
The equation of the line would be y = 2/3x - 3
Explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2
Now that we have a slope of 2/3, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 3 = 2/3(x - 9)
y - 3 = 2/3x - 6
y = 2/3x - 3