Chapter 8.6, Problem 27STP

To determine

To find: which statement is true about the slope of the line

Answer to Problem 27STP

The correct option is ‘D’

Explanation of Solution

Given:

  

1. The slope is -1
2. The slope is zero
3. The slope is 1
4. The slope is undefined.

Calculation:

Consider the graph that is parallel to y-axis means that line is vertical.

Slope is the ratio of the rise or the vertical change, to the run, or the horizontal change.

Since, the value of x-axis is constant. It means the value of x does not changes.

And we know that:

  $\text{slope=}\frac{\text{change in y}}{\text{change in x}}$

And, change in x is 0.

So,

  $\begin{array}{l}\text{slope=}\frac{\text{change in y}}{\text{0}}\\ =\text{undefined}\end{array}$

Therefore, the correct option is ‘D’

Conclusion:

Therefore, the correct option is ‘D’