When the original equation of the line -2x+3y=12 is simplified, the equation comes out as y=2x/3 + 4, meaning the slope is 2/3 and the y-int is 4
-When -2x+y=12 is simplified, it becomes y=2x+12, so it is neither
-When 3x+2y=-2 is simplified, it becomes y= -3x/2 - 1, the slope is the opposite reciprocal of the original equation's slope, meaning this line is perpendicular to the original line
-For y=2/3x - 1, the slope is equal to the slope of the original line but the y-intercept is different, meaning this line is parallel
-For the line -2x + 3y=11, when it's simplified it becomes y=2/3x + 11/3, the slope is equal to the slope of the original line but it has a different y-int, so the line is parallel.