What is the relationship between the lines determined by these two equations? 3x + 6y = 8 y = 2x - 8 they are the same line neither parallel nor perpendicular parallel perpendicular

Let's solve the first for y ...

3x+6y=8

6y=-3x+8

y = (-x/2) + 4/3, the other line is: y=2x-8

notice that (-1/2) (2) = - 1 so these lines are perpendicular to one another ...

(rule for lines to be perpendicular their slope must have this relationship:

m1*m2=-1)

Since that relationship is true, these two lines are perpendicular to one another.