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

The line is horizontal. The slope is 0.
The line is vertical. The slope is undefined.
The line is horizontal. The slope is undefined.
The line is vertical. The slope is 0

Respuesta :

calculista

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

[tex]x=4[/tex]

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:  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

[tex]x=4.[/tex]

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

[tex]S=\dfrac{1-0}{4-4}=\dfrac{1}{0},[/tex]

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.

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