Respuesta :

The slope of the parallel line (which has the same slope as the referenced line) line would be undefined, as vertical lines are undefined. Let's test this.

Slope is y2-y1/x2-x1. We'll use the points (2,-5) and (2,5)
5-(-5)/2-2 simplifies to 10/0. Since you can't divide by zero, this is undefined.

:)

Slope  of the line parallel to the line x = 4 is undefined.

What is slope?

" Slope of a line is defined as the ratio of the difference of increase in y-coordinates to the difference of increase in x- coordinates. It generally refer as a steepness of a line."

Formula used

Slope = ( y₂ - y₁) / ( x₂ - x₁ )

According to the graph,

Given line x = 4

Line parallel to x = 4 be any vertical line passing through x- axis .

Let the line be x = k , k is any real number

Consider two points on the line x = k.

Let it be ( x₁ , y₁) = ( k, 5) and ( x₂ , y₂) = ( k, -5)

Substitute the value in the formula we get,

Slope = (-5 - 5 ) / (k - k)

         = -10 / 0

         = undefined

Hence, Option(D) is the correct answer.

Learn more about slope here

https://brainly.com/question/3605446

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