Question

Determine which line is parallel to 6x + 6y = 6
1. 2y − 3 = 6x
2. 6y − 3 = x
3. 6x = y + 3
4. None of them.
5. 3x − 6 = −3y

Answer 1

6x + 6y = 6 divide throughout by 6
x + y = 1
gives
y = -x + 1

5. 3x − 6 = −3y
3y = -3x + 6 divide throughout by 3
y = -x + 2

so 5. 3x - 6 = -3y will be parallel to 6x + 6y = 6 as both have same slope