Question

Given the equations y = 4x + 5 and y = 4x - 7, what is the relationship

of the two lines?

O

A. Perpendicular

B. Parallel

C. Skew

D. Neither

Answer 1

Parallel

Explanation:

Given

`y = 4x + 5`

`y = 4x - 7`

Required

Determine the relationship

Both lines are parallel. This is so, because they have the same slope.

The equation of a line is:

`y = mx + b`

Where

`m = slope`

For
`y = 4x + 5`

`m_1= 4`

For
`y = 4x - 7`

`m_2 = 4`

By comparison:

`m_1 = m_2 = 4`

Since both slopes are the same, then the lines are parallel