Question

Are 7x - 4y = 8 and 4x - 7y = 14 parallel

Answer 1

No because parallel means they have the same slope and when you solve 7x-4y=8 for y, you would get y=7/4x-2 and the slope would be 7/4. When you solve 4x-7y=14 for y, you would get y=4/7x-2 and the slope would be 4/7 which is not the same as 7/4

Answer 2

No, they are not parallel

Explanation:

Two lines are parallel if they have the same slope

7x - 4y = 8

- 4y = - 7x + 8

y = 7/4 - 2

m = 7/4

4x - 7y = 14

- 7y = - 4x + 14

y = 4/7 - 2

m = 4/7

Since they don't have the same slope, they are not parallel.