Chapter 9.3, Problem 33STP

To determine

To choose : the correct answer concerning the slope of the given line.

Answer to Problem 33STP

Option D. is the correct answer.

Explanation of Solution

Given information :

Consider the graph given in the question.

The given options:

A. the slope is $-1$

B. the slope is zero

C. the slope is $1$

D. the slope is undefined.

Formula used:

The slope of a line:

  $m=\frac{y_2-y_1}{x_2-x_1}$ , where $x_2\ne x_1$

Calculation :

As per problem,

Consider the graph of the line given in the question,

The line is parallel to the y-axis and intersects x-axis at only point.

Hence, $x_2=x_1$ , so the slope:

  $m=\frac{y_2-y_1}{0}$

Therefore, the slope is undefined.