Chapter 13.2, Problem 6CE

a.

To determine

To tell whether the slope of line appear to be positive, negative ,zero or not defined

Answer to Problem 6CE

The given line have positive slope

Explanation of Solution

Given:

Below is the figure given

  

Calculation:

Positive slope means that the line is increasing from left to right, as $x$ -values are increasing the $y$ -values are also increasing.

negative slope means that the line is decreasing from right to left , as $x$ -values are increasing the $y$ -values are also decreasing.

Zero slope means that the line is horizontal, thus there is no change in the $y$ -values.

Undefined slope means that line is vertical, thus there is no change in $x$ -values.

From given figure it is clear that the given line have positive slope because the line is increasing from left to right also as the values of $x$ are increasing the $y$ -values are also increasing.

b.

To determine

To tell whether the slope of line appear to be positive, negative ,zero or not defined

Answer to Problem 6CE

The given line have slope is undefined.

Explanation of Solution

Given:

Below is the figure given

  

Calculation:

Positive slope means that the line is increasing from left to right, as $x$ -values are increasing the $y$ -values are also increasing.

negative slope means that the line is decreasing from right to left , as $x$ -values are increasing the $y$ -values are also decreasing.

Zero slope means that the line is horizontal, thus there is no change in the $y$ -values.

Undefined slope means that line is vertical, thus there is no change in $x$ -values.

From given figure it is clear that the for the given line slope is undefined because the line is vertical thus there is no change in $x$ -values.

c.

To determine

To tell whether the slope of line appear to be positive, negative ,zero or not defined

Answer to Problem 6CE

The given line have negative slope

Explanation of Solution

Given:

Below is the figure given

  

Calculation:

Positive slope means that the line is increasing from left to right, as $x$ -values are increasing the $y$ -values are also increasing.

negative slope means that the line is decreasing from right to left , as $x$ -values are increasing the $y$ -values are also decreasing.

Zero slope means that the line is horizontal, thus there is no change in the $y$ -values.

Undefined slope means that line is vertical, thus there is no change in $x$ -values.

From given figure it is clear that the given line have negative slope because the line is decreasing from right to left , as $x$ -values are increasing the $y$ -values are also decreasing.

d.

To determine

To tell whether the slope of line appear to be positive, negative ,zero or not defined

Answer to Problem 6CE

The given line have slope is zero.

Explanation of Solution

Given:

Below is the figure given

  

Calculation:

Positive slope means that the line is increasing from left to right, as $x$ -values are increasing the $y$ -values are also increasing.

negative slope means that the line is decreasing from right to left , as $x$ -values are increasing the $y$ -values are also decreasing.

Zero slope means that the line is horizontal, thus there is no change in the $y$ -values.

Undefined slope means that line is vertical, thus there is no change in $x$ -values.

From given figure it is clear that the for the given line slope is zero because the line is horizontal, thus there is no change in the $y$ -values.