Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line - 2x+3y=12? Drag each choice into the boxes to correctly complete the table. Is it Parallel - Perpendicular - Neither

-2x+y=12 3x+2y=-2 y=2/3x-1 - 2x+3y=11

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.