What do the following equations represent 4x-2y=-5 and 16x-8y=-2

a=equal lines
b=parallel lines
c=perpendicular lines
d=none of the above

The answer to your question is:   B = parallel lines

Step-by-step explanation:

Data

          4x - 2y = - 5   (I)

         16x - 8y = -2    (II)

Find the slopes of both lines

(I)        4x - 2y = -5

          - 2y = - 4x - 5

            y = -4/-2 x - 5/-2

           y = 2x + 5/2                   slope = 2

(II)      16x  - 8y = -2

         - 8y = -16x - 2

          y = -16/-8 x - 2/-8

          y = 2x + 1/4                    slope = 2

As the slopes are the same, they are parallel lines.