Question

The two lines y + 7x = 14 and y + 5 = -7x are:

parallel.
perpendicular.
neither.

Answer 1

The answer is:

Parallel

Work/explanation:

Let's rearrange the first equation:

y + 7x = 14

y = -7x + 14

Now, parallel lines have equal slopes; perpendicular lines have slopes that are opposite reciprocals of each other.

Our equations are:

• y = -7x + 14
• y = -7x - 5

Both slopes are -7. Hence, the lines are parallel.

Answer 2

parallel

Explanation:

y = -7x + 14

y = -7x + 5

the slopes of the two lines are both equal to (-7), the lines are parallel.