Line a is represented by the equation y=-2x+3. How do these equations compare to line a? Drag and drop the equations into the boxes to complete the table. Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a y=2x-1y=-2x+5y=12x+7

To determine if the line is parallel, perpendicular, or neither to the given line, we must compare their slopes.

Given equation: y = - 2x + 3

slope = - 2

The equation of the line can be calculated by - a/b of the standard equation.

(1) y = 2x - 1, slope = 2

Since, this is just the negative of the given line, the lines are neither parallel nor perpendicular.

(2) y = - 2x + 5, slope = - 2

Since the slope is equal to that of the given equation, this line is parallel with the given equation.

(3) y = 12x + 7, slope = 12

Since the slope do not have a special relation to the slope of the given line, it is neither parallel nor perpendicular to the given.