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

y=2x−1 is neither parallel nor perpendicular to line a; y=−2x+5 is parallel to line a; y=1/2x+7 is perpendicular to line a.

Step-by-step explanation:

Line a is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.  The slope of line a, the number in place of m, is -2.

Any line parallel to line a will have the same slope as line a, -2.  The only line with this slope is y=-2x+5.

Any line perpendicular to this line will have a slope that is the negative reciprocal (this means the opposite sign and flipped upside down).  This means that the slope of any line that is perpendicular to line a will have a slope of 1/2.  The only line that has a slope of 1/2 is y=1/2x+7.