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

Given that the equation of line a is given by y = -2x + 3.

For parallel lines, the slopes are equal, thus the equation of a line parallel to line a will be given by y = -2x + c where c is an arbitrary constant.

For perpendicular lines, the slope of the second line is given by , thus the slope of the line perpendicular to line a is and the equation of the line is given by , where c is an arbitrary constant.

Therefore, for the given equations:

y = 2x - 1 is neither parallel nor perpendicular to line a.

y = -2x + 5 is parallel to line a

is perpendicular to line a.

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