Question

Is the line for the equation x = 4 horizontal or vertical? What is the slope of the line? Select the best answer.

Answer 1

we know that

The slope of the lines parallel to the y-axis or vertical lines is undefined and the slope of the lines parallel to the x-axis or horizontal lines  is equal to zero

In this problem we have

$x=4$

This is the equation of a vertical line parallel to the y-axis

the slope is undefined

therefore

the answer is the option

The line is vertical. The slope is undefined

Answer 2

Answer:  The correct option is (B)  The line is vertical. The slope is undefined.

Step-by-step explanation:  We given to check whether the line  x = 4 is horizontal or vertical.

Also, we are to find the slope of the line and select the best option.

The given line is

$x=4.$

Since the straight line of the form x = k, a constant is parallel to Y-axis. Since Y-axis is the vertical axis, so, the line must be vertical.

Therefore, the line x = 4 is also vertical.

Now, (4, 0) and (4, 1) are any two points on the given line.

So, the slope of the line will be

$S=\dfrac{1-0}{4-4}=\dfrac{1}{0},$

which is undefined.

Therefore, the slope of the given line is undefined.

Thus, the given line is vertical and its slope is undefined.

Option (B) is correct.