Question

Which of the lines listed below are parallel? (PICK TWO)(1 point)
Responses

y=12x−5
y is equal to 1 half x minus 5

y=−12x+6
y is equal to negative 1 half x plus 6

y=12x+3
y is equal to 1 half x plus 3

y=−2x+7

Answer 1

To determine which lines are parallel, we need to compare their slopes. Lines are parallel if they have the same slope.

1. **y = 12x - 5** has a slope of 12.
2. **y = (1/2)x - 5** has a slope of 1/2.
3. **y = -12x + 6** has a slope of -12.
4. **y = (-1/2)x + 6** has a slope of -1/2.
5. **y = 12x + 3** has a slope of 12.
6. **y = (-2)x + 7** has a slope of -2.

Now let's identify lines with the same slope:

- **y = 12x - 5** and **y = 12x + 3** both have a slope of 12.

Therefore, the two lines that are parallel are:

1. **y = 12x - 5**
2. **y = 12x + 3**