Answer:
y = -(2/3)x - 5
Explanation:
First we need to find the slope of the line 2x - 3y = 12 by solving for y...
2x - 3y = 12
-3y = -2x + 12
y = (2/3)x - 4
Parallel lines have the same slope, so the new line has a slope of (2/3), the equation for a line is y = mx + b, so we have m, and a point (x, y) of (6, -1), so plug in all the values and solve for b...
-1 = (2/3)(6) + b
-1 = 4 + b
-5 = b
So the line parallel is y = (2/3)x - 5