Line a is represented by the equation y=-2x+3.

How do these equations compare to line a?

Parallel to line a

Perpendicular to line a

Neither parallel nor perpendicular to line a

y=2x-1

y=-2x+5

y=1/2x+7

The second line of eauation y=-2x+5 is parallel to a since both have the same slope which is -

-2

the first line of equation y=2x-1 is neither perpendicular nor parallel to a since the (slope of this line) x (the slope of a) = 2 x - 2 = - 4 not - 1, so they aren't perpendicular and its slope isn't equal to that of a, so they aren't parallel

the last line of equation y=1/2x+7 is perpendicular to a since (the slope of a) x (the slope of this line) = - 2 x 1/2 = - 1