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

Answer:

A. Parallel

Step-by-step 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.

Answer 2

Answer:

The correct answer option is A. parallel.

Step-by-step 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.