Chapter 1.3, Problem 9E

a.

To determine

To identify the line that has slope $m=\frac{2}{3}$ from the given graph.

  

Answer to Problem 9E

The line $L_2$ has slope $m=\frac{2}{3}$

Explanation of Solution

Given information :

Given slope $m=\frac{2}{3}$

As given slope is positive, so the graph of line has the property of increasing in $y$ values as $x$ increases.

Thus, line $L_2$ has the property of increasing in $y$ values as $x$ increases.

Therefore, the line $L_2$ has slope $m=\frac{2}{3}$

b.

To determine

To identify the line that has slope $m=\text{undefined}$ from the given graph.

  

Answer to Problem 9E

The line $L_3$ has slope $m=\text{undefined}$ .

Explanation of Solution

Given information :

Given slope $m=\text{undefined}$

As we know that the only line that has undefined slope is a vertical line.

Thus, line $L_2$ is a vertical one.

Therefore, the line $L_2$ has slope $m=\text{undefined}$

c.

To determine

To identify the line that has slope $m=-2$ from the given graph.

  

Answer to Problem 9E

The line $L_1$ has slope $m=-2$ .

Explanation of Solution

Given information :

Given slope $m=-2$ .

As given slope is negative, so the graph of line has the property of decreasing in $y$ values as $x$ increases.

Thus, the line $L_1$ has the property of decreasing in $y$ values as $x$ increases.

Therefore, the line $L_1$ has slope $m=-2$ .