Question

The lines given by the equations y = 6x and y = 6x + 2 are _____. A. parallel B. perpendicular C. neither perpendicular nor parallel

Answer 1

The correct answer option is A. parallel.

Explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

`y = 6x` and
`y = 6x + 2`

According to the standard equation of a line,
`y=mx+c`, the coefficient of x (
`m`) is the slope of the line.

Slope of
`y = 6x` = 6

Slope of
`y = 6x + 2` = 6

Since both the lines have same slope, therefore the two line are parallel.

Answer 2

A. Parallel

Explanation:

The given lines are

`y=6x`

and

`y=6x+2`

The slope of
`y=6x` is
`m_1=6`.

The slope of
`y=6x+2` is
`m_2=6`.

Since the two lines have the same slope, the two lines are parallel.