Chapter 8.6, Problem 20PPS

(a)

To determine

To find:the slope of the line.

Answer to Problem 20PPS

The slope of the line is -2.

Explanation of Solution

Given:Consider the table that shows ordered pair.

  

Calculation:

Slope of the line $\text{(m)}$ passing through two points is ratio of the difference in y -coordinates to the corresponding difference in x-coordinates.

So, if two points then slope $\begin{array}{l}(x_1,y_1)\text{ and (}{x}_2,y_2)\\ \end{array}$ then slope is:

  $m=\frac{y_2-y_1}{x_2-x_1}$

Consider that $(x_1,y_1)=(-1,-6)and(x_2,y_2)=(0,-8)$

Put the values in slope formula

  $\begin{array}{l}m=\frac{-8-(-6)}{0-(-1)}\\ \text{ =}\frac{-8+6}{0+1}\\ \text{ = }\frac{-2}{1}\\ \text{ =-2}\end{array}$

Therefore the slope of the line is -2.

Conclusion:the slope of the line is -2.

(b)

To determine

To plot: the points on a coordinate plane.

Answer to Problem 20PPS

The points on a coordinate plane and make a line.

Explanation of Solution

Given:

Calculation:

Now, plot the points on a coordinate plane and make a line.

  

Conclusion: The points on a coordinate plane and make a line.

(c)

To determine

To explain:the representation of the given point

Answer to Problem 20PPS

The point $(0,-8)$ represent that when the value of $x=0$ , then the value of $y=-8$ .

Explanation of Solution

Given: $(0,-8)$

The point $(0,-8)$ represent that when the value of $x=0$ , then the value of $y=-8$ .

It means that the value of y-intercept is $-8$

Conclusion: Therefore, the point $(0,-8)$ represent that when the value of $x=0$ , then the value of $y=-8$ .